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Finding the Third Proportional to 779,039.75 and 1,196,700.13

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Solution

The third proportional to 779,039.75 and 1,196,700.13 is: 1,838,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,039.75 : 1,196,700.13 = 1,196,700.13 : x
  2. Step 2: Convert to fraction form
    779,039.75/1,196,700.13 = 1,196,700.13/x
  3. Step 3: Cross multiply
    779,039.75x = 1,196,700.13 × 1,196,700.13
  4. Step 4: Simplify right side
    779,039.75x = 1,432,091,189,175.02
  5. Step 5: Solve for x
    x = 1,432,091,189,175.02/779,039.75
  6. Step 6: Final answer
    x = 1,838,277.43

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Why These Related Problems?

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