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Finding the Third Proportional to 654,108.75 and 1,402,805.25

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Solution

The third proportional to 654,108.75 and 1,402,805.25 is: 3,008,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,108.75 : 1,402,805.25 = 1,402,805.25 : x
  2. Step 2: Convert to fraction form
    654,108.75/1,402,805.25 = 1,402,805.25/x
  3. Step 3: Cross multiply
    654,108.75x = 1,402,805.25 × 1,402,805.25
  4. Step 4: Simplify right side
    654,108.75x = 1,967,862,569,427.56
  5. Step 5: Solve for x
    x = 1,967,862,569,427.56/654,108.75
  6. Step 6: Final answer
    x = 3,008,463.91

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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.