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Finding the Third Proportional to 779,555 and 1,166,154

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Solution

The third proportional to 779,555 and 1,166,154 is: 1,744,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,555 : 1,166,154 = 1,166,154 : x
  2. Step 2: Convert to fraction form
    779,555/1,166,154 = 1,166,154/x
  3. Step 3: Cross multiply
    779,555x = 1,166,154 × 1,166,154
  4. Step 4: Simplify right side
    779,555x = 1,359,915,151,716
  5. Step 5: Solve for x
    x = 1,359,915,151,716/779,555
  6. Step 6: Final answer
    x = 1,744,476.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.