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Finding the Third Proportional to 632,052 and 1,174,432

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Solution

The third proportional to 632,052 and 1,174,432 is: 2,182,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,052 : 1,174,432 = 1,174,432 : x
  2. Step 2: Convert to fraction form
    632,052/1,174,432 = 1,174,432/x
  3. Step 3: Cross multiply
    632,052x = 1,174,432 × 1,174,432
  4. Step 4: Simplify right side
    632,052x = 1,379,290,522,624
  5. Step 5: Solve for x
    x = 1,379,290,522,624/632,052
  6. Step 6: Final answer
    x = 2,182,242.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.