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Finding the Third Proportional to 591,040 and 936,042

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Solution

The third proportional to 591,040 and 936,042 is: 1,482,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,040 : 936,042 = 936,042 : x
  2. Step 2: Convert to fraction form
    591,040/936,042 = 936,042/x
  3. Step 3: Cross multiply
    591,040x = 936,042 × 936,042
  4. Step 4: Simplify right side
    591,040x = 876,174,625,764
  5. Step 5: Solve for x
    x = 876,174,625,764/591,040
  6. Step 6: Final answer
    x = 1,482,428.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.