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Finding the Third Proportional to 1,001,013 and 2,159,489

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Solution

The third proportional to 1,001,013 and 2,159,489 is: 4,658,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,013 : 2,159,489 = 2,159,489 : x
  2. Step 2: Convert to fraction form
    1,001,013/2,159,489 = 2,159,489/x
  3. Step 3: Cross multiply
    1,001,013x = 2,159,489 × 2,159,489
  4. Step 4: Simplify right side
    1,001,013x = 4,663,392,741,121
  5. Step 5: Solve for x
    x = 4,663,392,741,121/1,001,013
  6. Step 6: Final answer
    x = 4,658,673.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.