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Finding the Third Proportional to 732,539 and 1,583,510

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Solution

The third proportional to 732,539 and 1,583,510 is: 3,423,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,539 : 1,583,510 = 1,583,510 : x
  2. Step 2: Convert to fraction form
    732,539/1,583,510 = 1,583,510/x
  3. Step 3: Cross multiply
    732,539x = 1,583,510 × 1,583,510
  4. Step 4: Simplify right side
    732,539x = 2,507,503,920,100
  5. Step 5: Solve for x
    x = 2,507,503,920,100/732,539
  6. Step 6: Final answer
    x = 3,423,031.29

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Why These Related Problems?

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