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Finding the Third Proportional to 1,292,330.25 and 2,146,398.75

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Solution

The third proportional to 1,292,330.25 and 2,146,398.75 is: 3,564,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,330.25 : 2,146,398.75 = 2,146,398.75 : x
  2. Step 2: Convert to fraction form
    1,292,330.25/2,146,398.75 = 2,146,398.75/x
  3. Step 3: Cross multiply
    1,292,330.25x = 2,146,398.75 × 2,146,398.75
  4. Step 4: Simplify right side
    1,292,330.25x = 4,607,027,594,001.56
  5. Step 5: Solve for x
    x = 4,607,027,594,001.56/1,292,330.25
  6. Step 6: Final answer
    x = 3,564,899.60

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.