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Finding the Third Proportional to 1,129,626 and 1,580,013

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Solution

The third proportional to 1,129,626 and 1,580,013 is: 2,209,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,626 : 1,580,013 = 1,580,013 : x
  2. Step 2: Convert to fraction form
    1,129,626/1,580,013 = 1,580,013/x
  3. Step 3: Cross multiply
    1,129,626x = 1,580,013 × 1,580,013
  4. Step 4: Simplify right side
    1,129,626x = 2,496,441,080,169
  5. Step 5: Solve for x
    x = 2,496,441,080,169/1,129,626
  6. Step 6: Final answer
    x = 2,209,971.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.