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Finding the Third Proportional to 1,015,587 and 2,171,142

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Solution

The third proportional to 1,015,587 and 2,171,142 is: 4,641,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,587 : 2,171,142 = 2,171,142 : x
  2. Step 2: Convert to fraction form
    1,015,587/2,171,142 = 2,171,142/x
  3. Step 3: Cross multiply
    1,015,587x = 2,171,142 × 2,171,142
  4. Step 4: Simplify right side
    1,015,587x = 4,713,857,584,164
  5. Step 5: Solve for x
    x = 4,713,857,584,164/1,015,587
  6. Step 6: Final answer
    x = 4,641,510.36

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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.