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Finding the Third Proportional to 724,405 and 1,583,432

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Solution

The third proportional to 724,405 and 1,583,432 is: 3,461,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,405 : 1,583,432 = 1,583,432 : x
  2. Step 2: Convert to fraction form
    724,405/1,583,432 = 1,583,432/x
  3. Step 3: Cross multiply
    724,405x = 1,583,432 × 1,583,432
  4. Step 4: Simplify right side
    724,405x = 2,507,256,898,624
  5. Step 5: Solve for x
    x = 2,507,256,898,624/724,405
  6. Step 6: Final answer
    x = 3,461,125.89

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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.