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Finding the Third Proportional to 2,992,070 and 6,412,792

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Solution

The third proportional to 2,992,070 and 6,412,792 is: 13,744,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,070 : 6,412,792 = 6,412,792 : x
  2. Step 2: Convert to fraction form
    2,992,070/6,412,792 = 6,412,792/x
  3. Step 3: Cross multiply
    2,992,070x = 6,412,792 × 6,412,792
  4. Step 4: Simplify right side
    2,992,070x = 41,123,901,235,264
  5. Step 5: Solve for x
    x = 41,123,901,235,264/2,992,070
  6. Step 6: Final answer
    x = 13,744,297.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.