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Finding the Third Proportional to 786,150 and 1,246,842

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Solution

The third proportional to 786,150 and 1,246,842 is: 1,977,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,150 : 1,246,842 = 1,246,842 : x
  2. Step 2: Convert to fraction form
    786,150/1,246,842 = 1,246,842/x
  3. Step 3: Cross multiply
    786,150x = 1,246,842 × 1,246,842
  4. Step 4: Simplify right side
    786,150x = 1,554,614,972,964
  5. Step 5: Solve for x
    x = 1,554,614,972,964/786,150
  6. Step 6: Final answer
    x = 1,977,504.26

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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.