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Finding the Third Proportional to 779,049 and 1,196,715

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Solution

The third proportional to 779,049 and 1,196,715 is: 1,838,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,049 : 1,196,715 = 1,196,715 : x
  2. Step 2: Convert to fraction form
    779,049/1,196,715 = 1,196,715/x
  3. Step 3: Cross multiply
    779,049x = 1,196,715 × 1,196,715
  4. Step 4: Simplify right side
    779,049x = 1,432,126,791,225
  5. Step 5: Solve for x
    x = 1,432,126,791,225/779,049
  6. Step 6: Final answer
    x = 1,838,301.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.