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Finding the Third Proportional to 556,719 and 1,219,836.75

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Solution

The third proportional to 556,719 and 1,219,836.75 is: 2,672,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,719 : 1,219,836.75 = 1,219,836.75 : x
  2. Step 2: Convert to fraction form
    556,719/1,219,836.75 = 1,219,836.75/x
  3. Step 3: Cross multiply
    556,719x = 1,219,836.75 × 1,219,836.75
  4. Step 4: Simplify right side
    556,719x = 1,488,001,696,650.56
  5. Step 5: Solve for x
    x = 1,488,001,696,650.56/556,719
  6. Step 6: Final answer
    x = 2,672,805.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.