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Finding the Third Proportional to 2,929,613 and 6,417,784

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Solution

The third proportional to 2,929,613 and 6,417,784 is: 14,059,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,613 : 6,417,784 = 6,417,784 : x
  2. Step 2: Convert to fraction form
    2,929,613/6,417,784 = 6,417,784/x
  3. Step 3: Cross multiply
    2,929,613x = 6,417,784 × 6,417,784
  4. Step 4: Simplify right side
    2,929,613x = 41,187,951,470,656
  5. Step 5: Solve for x
    x = 41,187,951,470,656/2,929,613
  6. Step 6: Final answer
    x = 14,059,178.28

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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.