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Finding the Third Proportional to 1,031,674 and 2,427,485

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Solution

The third proportional to 1,031,674 and 2,427,485 is: 5,711,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,674 : 2,427,485 = 2,427,485 : x
  2. Step 2: Convert to fraction form
    1,031,674/2,427,485 = 2,427,485/x
  3. Step 3: Cross multiply
    1,031,674x = 2,427,485 × 2,427,485
  4. Step 4: Simplify right side
    1,031,674x = 5,892,683,425,225
  5. Step 5: Solve for x
    x = 5,892,683,425,225/1,031,674
  6. Step 6: Final answer
    x = 5,711,768.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.