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Finding the Third Proportional to 2,929,617 and 6,417,792

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Solution

The third proportional to 2,929,617 and 6,417,792 is: 14,059,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,617 : 6,417,792 = 6,417,792 : x
  2. Step 2: Convert to fraction form
    2,929,617/6,417,792 = 6,417,792/x
  3. Step 3: Cross multiply
    2,929,617x = 6,417,792 × 6,417,792
  4. Step 4: Simplify right side
    2,929,617x = 41,188,054,155,264
  5. Step 5: Solve for x
    x = 41,188,054,155,264/2,929,617
  6. Step 6: Final answer
    x = 14,059,194.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.