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Finding the Third Proportional to 623,522 and 1,507,613

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Solution

The third proportional to 623,522 and 1,507,613 is: 3,645,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,522 : 1,507,613 = 1,507,613 : x
  2. Step 2: Convert to fraction form
    623,522/1,507,613 = 1,507,613/x
  3. Step 3: Cross multiply
    623,522x = 1,507,613 × 1,507,613
  4. Step 4: Simplify right side
    623,522x = 2,272,896,957,769
  5. Step 5: Solve for x
    x = 2,272,896,957,769/623,522
  6. Step 6: Final answer
    x = 3,645,255.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.