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Finding the Third Proportional to 762,502 and 1,650,530

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Solution

The third proportional to 762,502 and 1,650,530 is: 3,572,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,502 : 1,650,530 = 1,650,530 : x
  2. Step 2: Convert to fraction form
    762,502/1,650,530 = 1,650,530/x
  3. Step 3: Cross multiply
    762,502x = 1,650,530 × 1,650,530
  4. Step 4: Simplify right side
    762,502x = 2,724,249,280,900
  5. Step 5: Solve for x
    x = 2,724,249,280,900/762,502
  6. Step 6: Final answer
    x = 3,572,776.57

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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.