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Finding the Third Proportional to 657,649.13 and 1,047,255.75

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Solution

The third proportional to 657,649.13 and 1,047,255.75 is: 1,667,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,649.13 : 1,047,255.75 = 1,047,255.75 : x
  2. Step 2: Convert to fraction form
    657,649.13/1,047,255.75 = 1,047,255.75/x
  3. Step 3: Cross multiply
    657,649.13x = 1,047,255.75 × 1,047,255.75
  4. Step 4: Simplify right side
    657,649.13x = 1,096,744,605,908.06
  5. Step 5: Solve for x
    x = 1,096,744,605,908.06/657,649.13
  6. Step 6: Final answer
    x = 1,667,674.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.