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Finding the Third Proportional to 786,120 and 1,246,788

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Solution

The third proportional to 786,120 and 1,246,788 is: 1,977,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,120 : 1,246,788 = 1,246,788 : x
  2. Step 2: Convert to fraction form
    786,120/1,246,788 = 1,246,788/x
  3. Step 3: Cross multiply
    786,120x = 1,246,788 × 1,246,788
  4. Step 4: Simplify right side
    786,120x = 1,554,480,316,944
  5. Step 5: Solve for x
    x = 1,554,480,316,944/786,120
  6. Step 6: Final answer
    x = 1,977,408.43

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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.