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Finding the Third Proportional to 779,684 and 1,166,352

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Solution

The third proportional to 779,684 and 1,166,352 is: 1,744,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,684 : 1,166,352 = 1,166,352 : x
  2. Step 2: Convert to fraction form
    779,684/1,166,352 = 1,166,352/x
  3. Step 3: Cross multiply
    779,684x = 1,166,352 × 1,166,352
  4. Step 4: Simplify right side
    779,684x = 1,360,376,987,904
  5. Step 5: Solve for x
    x = 1,360,376,987,904/779,684
  6. Step 6: Final answer
    x = 1,744,779.92

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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.