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Finding the Third Proportional to 583,532 and 1,207,528

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Solution

The third proportional to 583,532 and 1,207,528 is: 2,498,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,532 : 1,207,528 = 1,207,528 : x
  2. Step 2: Convert to fraction form
    583,532/1,207,528 = 1,207,528/x
  3. Step 3: Cross multiply
    583,532x = 1,207,528 × 1,207,528
  4. Step 4: Simplify right side
    583,532x = 1,458,123,870,784
  5. Step 5: Solve for x
    x = 1,458,123,870,784/583,532
  6. Step 6: Final answer
    x = 2,498,789.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.