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Finding the Third Proportional to 5,041,400 and 7,565,786

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Solution

The third proportional to 5,041,400 and 7,565,786 is: 11,354,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041,400 : 7,565,786 = 7,565,786 : x
  2. Step 2: Convert to fraction form
    5,041,400/7,565,786 = 7,565,786/x
  3. Step 3: Cross multiply
    5,041,400x = 7,565,786 × 7,565,786
  4. Step 4: Simplify right side
    5,041,400x = 57,241,117,797,796
  5. Step 5: Solve for x
    x = 57,241,117,797,796/5,041,400
  6. Step 6: Final answer
    x = 11,354,210.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.