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Finding the Third Proportional to 786,122 and 1,246,791

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Solution

The third proportional to 786,122 and 1,246,791 is: 1,977,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,122 : 1,246,791 = 1,246,791 : x
  2. Step 2: Convert to fraction form
    786,122/1,246,791 = 1,246,791/x
  3. Step 3: Cross multiply
    786,122x = 1,246,791 × 1,246,791
  4. Step 4: Simplify right side
    786,122x = 1,554,487,797,681
  5. Step 5: Solve for x
    x = 1,554,487,797,681/786,122
  6. Step 6: Final answer
    x = 1,977,412.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.