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Finding the Third Proportional to 5,072,288 and 6,908,448

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Solution

The third proportional to 5,072,288 and 6,908,448 is: 9,409,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072,288 : 6,908,448 = 6,908,448 : x
  2. Step 2: Convert to fraction form
    5,072,288/6,908,448 = 6,908,448/x
  3. Step 3: Cross multiply
    5,072,288x = 6,908,448 × 6,908,448
  4. Step 4: Simplify right side
    5,072,288x = 47,726,653,768,704
  5. Step 5: Solve for x
    x = 47,726,653,768,704/5,072,288
  6. Step 6: Final answer
    x = 9,409,294.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.