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Finding the Third Proportional to 732,543.75 and 1,570,215.38

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Solution

The third proportional to 732,543.75 and 1,570,215.38 is: 3,365,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,543.75 : 1,570,215.38 = 1,570,215.38 : x
  2. Step 2: Convert to fraction form
    732,543.75/1,570,215.38 = 1,570,215.38/x
  3. Step 3: Cross multiply
    732,543.75x = 1,570,215.38 × 1,570,215.38
  4. Step 4: Simplify right side
    732,543.75x = 2,465,576,323,886.39
  5. Step 5: Solve for x
    x = 2,465,576,323,886.39/732,543.75
  6. Step 6: Final answer
    x = 3,365,773.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.