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Finding the Third Proportional to 587,989 and 1,275,554

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Solution

The third proportional to 587,989 and 1,275,554 is: 2,767,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,989 : 1,275,554 = 1,275,554 : x
  2. Step 2: Convert to fraction form
    587,989/1,275,554 = 1,275,554/x
  3. Step 3: Cross multiply
    587,989x = 1,275,554 × 1,275,554
  4. Step 4: Simplify right side
    587,989x = 1,627,038,006,916
  5. Step 5: Solve for x
    x = 1,627,038,006,916/587,989
  6. Step 6: Final answer
    x = 2,767,123.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.