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Finding the Third Proportional to 762,534 and 1,650,582

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Solution

The third proportional to 762,534 and 1,650,582 is: 3,572,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,534 : 1,650,582 = 1,650,582 : x
  2. Step 2: Convert to fraction form
    762,534/1,650,582 = 1,650,582/x
  3. Step 3: Cross multiply
    762,534x = 1,650,582 × 1,650,582
  4. Step 4: Simplify right side
    762,534x = 2,724,420,938,724
  5. Step 5: Solve for x
    x = 2,724,420,938,724/762,534
  6. Step 6: Final answer
    x = 3,572,851.75

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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.