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Finding the Third Proportional to 779,091.75 and 1,217,845.13

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Solution

The third proportional to 779,091.75 and 1,217,845.13 is: 1,903,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,091.75 : 1,217,845.13 = 1,217,845.13 : x
  2. Step 2: Convert to fraction form
    779,091.75/1,217,845.13 = 1,217,845.13/x
  3. Step 3: Cross multiply
    779,091.75x = 1,217,845.13 × 1,217,845.13
  4. Step 4: Simplify right side
    779,091.75x = 1,483,146,748,486.27
  5. Step 5: Solve for x
    x = 1,483,146,748,486.27/779,091.75
  6. Step 6: Final answer
    x = 1,903,686.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.