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Finding the Third Proportional to 590,572.50 and 1,220,514

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Solution

The third proportional to 590,572.50 and 1,220,514 is: 2,522,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,572.50 : 1,220,514 = 1,220,514 : x
  2. Step 2: Convert to fraction form
    590,572.50/1,220,514 = 1,220,514/x
  3. Step 3: Cross multiply
    590,572.50x = 1,220,514 × 1,220,514
  4. Step 4: Simplify right side
    590,572.50x = 1,489,654,424,196
  5. Step 5: Solve for x
    x = 1,489,654,424,196/590,572.50
  6. Step 6: Final answer
    x = 2,522,390.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.