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Finding the Third Proportional to 724,403 and 1,583,428

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Solution

The third proportional to 724,403 and 1,583,428 is: 3,461,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,403 : 1,583,428 = 1,583,428 : x
  2. Step 2: Convert to fraction form
    724,403/1,583,428 = 1,583,428/x
  3. Step 3: Cross multiply
    724,403x = 1,583,428 × 1,583,428
  4. Step 4: Simplify right side
    724,403x = 2,507,244,231,184
  5. Step 5: Solve for x
    x = 2,507,244,231,184/724,403
  6. Step 6: Final answer
    x = 3,461,117.96

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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.