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Finding the Third Proportional to 1,001,724 and 2,227,386

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Solution

The third proportional to 1,001,724 and 2,227,386 is: 4,952,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,724 : 2,227,386 = 2,227,386 : x
  2. Step 2: Convert to fraction form
    1,001,724/2,227,386 = 2,227,386/x
  3. Step 3: Cross multiply
    1,001,724x = 2,227,386 × 2,227,386
  4. Step 4: Simplify right side
    1,001,724x = 4,961,248,392,996
  5. Step 5: Solve for x
    x = 4,961,248,392,996/1,001,724
  6. Step 6: Final answer
    x = 4,952,709.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.