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Finding the Third Proportional to 657,873 and 1,441,386

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Solution

The third proportional to 657,873 and 1,441,386 is: 3,158,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,873 : 1,441,386 = 1,441,386 : x
  2. Step 2: Convert to fraction form
    657,873/1,441,386 = 1,441,386/x
  3. Step 3: Cross multiply
    657,873x = 1,441,386 × 1,441,386
  4. Step 4: Simplify right side
    657,873x = 2,077,593,600,996
  5. Step 5: Solve for x
    x = 2,077,593,600,996/657,873
  6. Step 6: Final answer
    x = 3,158,046.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.