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Finding the Third Proportional to 651,154 and 1,407,582

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Solution

The third proportional to 651,154 and 1,407,582 is: 3,042,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,154 : 1,407,582 = 1,407,582 : x
  2. Step 2: Convert to fraction form
    651,154/1,407,582 = 1,407,582/x
  3. Step 3: Cross multiply
    651,154x = 1,407,582 × 1,407,582
  4. Step 4: Simplify right side
    651,154x = 1,981,287,086,724
  5. Step 5: Solve for x
    x = 1,981,287,086,724/651,154
  6. Step 6: Final answer
    x = 3,042,731.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.