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Finding the Third Proportional to 591,042 and 936,045

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Solution

The third proportional to 591,042 and 936,045 is: 1,482,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,042 : 936,045 = 936,045 : x
  2. Step 2: Convert to fraction form
    591,042/936,045 = 936,045/x
  3. Step 3: Cross multiply
    591,042x = 936,045 × 936,045
  4. Step 4: Simplify right side
    591,042x = 876,180,242,025
  5. Step 5: Solve for x
    x = 876,180,242,025/591,042
  6. Step 6: Final answer
    x = 1,482,433.13

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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.