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Finding the Third Proportional to 784,110 and 1,173,031

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Solution

The third proportional to 784,110 and 1,173,031 is: 1,754,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,110 : 1,173,031 = 1,173,031 : x
  2. Step 2: Convert to fraction form
    784,110/1,173,031 = 1,173,031/x
  3. Step 3: Cross multiply
    784,110x = 1,173,031 × 1,173,031
  4. Step 4: Simplify right side
    784,110x = 1,376,001,726,961
  5. Step 5: Solve for x
    x = 1,376,001,726,961/784,110
  6. Step 6: Final answer
    x = 1,754,858.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.