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Finding the Third Proportional to 932,583 and 2,012,181

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Solution

The third proportional to 932,583 and 2,012,181 is: 4,341,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,583 : 2,012,181 = 2,012,181 : x
  2. Step 2: Convert to fraction form
    932,583/2,012,181 = 2,012,181/x
  3. Step 3: Cross multiply
    932,583x = 2,012,181 × 2,012,181
  4. Step 4: Simplify right side
    932,583x = 4,048,872,376,761
  5. Step 5: Solve for x
    x = 4,048,872,376,761/932,583
  6. Step 6: Final answer
    x = 4,341,567.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.