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Finding the Third Proportional to 784,642 and 1,199,471

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Solution

The third proportional to 784,642 and 1,199,471 is: 1,833,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,642 : 1,199,471 = 1,199,471 : x
  2. Step 2: Convert to fraction form
    784,642/1,199,471 = 1,199,471/x
  3. Step 3: Cross multiply
    784,642x = 1,199,471 × 1,199,471
  4. Step 4: Simplify right side
    784,642x = 1,438,730,679,841
  5. Step 5: Solve for x
    x = 1,438,730,679,841/784,642
  6. Step 6: Final answer
    x = 1,833,614.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.