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Finding the Third Proportional to 724,700 and 1,065,738

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Solution

The third proportional to 724,700 and 1,065,738 is: 1,567,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,700 : 1,065,738 = 1,065,738 : x
  2. Step 2: Convert to fraction form
    724,700/1,065,738 = 1,065,738/x
  3. Step 3: Cross multiply
    724,700x = 1,065,738 × 1,065,738
  4. Step 4: Simplify right side
    724,700x = 1,135,797,484,644
  5. Step 5: Solve for x
    x = 1,135,797,484,644/724,700
  6. Step 6: Final answer
    x = 1,567,265.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.