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Finding the Third Proportional to 469,544 and 977,998

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Solution

The third proportional to 469,544 and 977,998 is: 2,037,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,544 : 977,998 = 977,998 : x
  2. Step 2: Convert to fraction form
    469,544/977,998 = 977,998/x
  3. Step 3: Cross multiply
    469,544x = 977,998 × 977,998
  4. Step 4: Simplify right side
    469,544x = 956,480,088,004
  5. Step 5: Solve for x
    x = 956,480,088,004/469,544
  6. Step 6: Final answer
    x = 2,037,040.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.