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Finding the Third Proportional to 638,871 and 1,366,386

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Solution

The third proportional to 638,871 and 1,366,386 is: 2,922,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,871 : 1,366,386 = 1,366,386 : x
  2. Step 2: Convert to fraction form
    638,871/1,366,386 = 1,366,386/x
  3. Step 3: Cross multiply
    638,871x = 1,366,386 × 1,366,386
  4. Step 4: Simplify right side
    638,871x = 1,867,010,700,996
  5. Step 5: Solve for x
    x = 1,867,010,700,996/638,871
  6. Step 6: Final answer
    x = 2,922,359.45

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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.