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Finding the Third Proportional to 779,554.13 and 1,157,940.56

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Solution

The third proportional to 779,554.13 and 1,157,940.56 is: 1,719,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,554.13 : 1,157,940.56 = 1,157,940.56 : x
  2. Step 2: Convert to fraction form
    779,554.13/1,157,940.56 = 1,157,940.56/x
  3. Step 3: Cross multiply
    779,554.13x = 1,157,940.56 × 1,157,940.56
  4. Step 4: Simplify right side
    779,554.13x = 1,340,826,346,282.82
  5. Step 5: Solve for x
    x = 1,340,826,346,282.82/779,554.13
  6. Step 6: Final answer
    x = 1,719,991.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.