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Finding the Third Proportional to 778,392 and 1,167,588

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Solution

The third proportional to 778,392 and 1,167,588 is: 1,751,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,392 : 1,167,588 = 1,167,588 : x
  2. Step 2: Convert to fraction form
    778,392/1,167,588 = 1,167,588/x
  3. Step 3: Cross multiply
    778,392x = 1,167,588 × 1,167,588
  4. Step 4: Simplify right side
    778,392x = 1,363,261,737,744
  5. Step 5: Solve for x
    x = 1,363,261,737,744/778,392
  6. Step 6: Final answer
    x = 1,751,382

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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.