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Finding the Third Proportional to 657,649.13 and 1,413,200.25

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Solution

The third proportional to 657,649.13 and 1,413,200.25 is: 3,036,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,649.13 : 1,413,200.25 = 1,413,200.25 : x
  2. Step 2: Convert to fraction form
    657,649.13/1,413,200.25 = 1,413,200.25/x
  3. Step 3: Cross multiply
    657,649.13x = 1,413,200.25 × 1,413,200.25
  4. Step 4: Simplify right side
    657,649.13x = 1,997,134,946,600.06
  5. Step 5: Solve for x
    x = 1,997,134,946,600.06/657,649.13
  6. Step 6: Final answer
    x = 3,036,778.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.