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Finding the Third Proportional to 724,408 and 1,583,438

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Solution

The third proportional to 724,408 and 1,583,438 is: 3,461,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,408 : 1,583,438 = 1,583,438 : x
  2. Step 2: Convert to fraction form
    724,408/1,583,438 = 1,583,438/x
  3. Step 3: Cross multiply
    724,408x = 1,583,438 × 1,583,438
  4. Step 4: Simplify right side
    724,408x = 2,507,275,899,844
  5. Step 5: Solve for x
    x = 2,507,275,899,844/724,408
  6. Step 6: Final answer
    x = 3,461,137.78

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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.