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Finding the Third Proportional to 520,235,102.46 and 751,649,884.77

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Solution

The third proportional to 520,235,102.46 and 751,649,884.77 is: 1,086,004,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,235,102.46 : 751,649,884.77 = 751,649,884.77 : x
  2. Step 2: Convert to fraction form
    520,235,102.46/751,649,884.77 = 751,649,884.77/x
  3. Step 3: Cross multiply
    520,235,102.46x = 751,649,884.77 × 751,649,884.77
  4. Step 4: Simplify right side
    520,235,102.46x = 564,977,549,274,032,768
  5. Step 5: Solve for x
    x = 564,977,549,274,032,768/520,235,102.46
  6. Step 6: Final answer
    x = 1,086,004,282.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.