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Finding the Third Proportional to 748,359 and 1,641,582

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Solution

The third proportional to 748,359 and 1,641,582 is: 3,600,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,359 : 1,641,582 = 1,641,582 : x
  2. Step 2: Convert to fraction form
    748,359/1,641,582 = 1,641,582/x
  3. Step 3: Cross multiply
    748,359x = 1,641,582 × 1,641,582
  4. Step 4: Simplify right side
    748,359x = 2,694,791,462,724
  5. Step 5: Solve for x
    x = 2,694,791,462,724/748,359
  6. Step 6: Final answer
    x = 3,600,934.13

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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.