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Finding the Third Proportional to 1,280,542.50 and 1,712,853

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Solution

The third proportional to 1,280,542.50 and 1,712,853 is: 2,291,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,542.50 : 1,712,853 = 1,712,853 : x
  2. Step 2: Convert to fraction form
    1,280,542.50/1,712,853 = 1,712,853/x
  3. Step 3: Cross multiply
    1,280,542.50x = 1,712,853 × 1,712,853
  4. Step 4: Simplify right side
    1,280,542.50x = 2,933,865,399,609
  5. Step 5: Solve for x
    x = 2,933,865,399,609/1,280,542.50
  6. Step 6: Final answer
    x = 2,291,111.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.