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Finding the Third Proportional to 1,329,566.91 and 1,947,181.78

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Solution

The third proportional to 1,329,566.91 and 1,947,181.78 is: 2,851,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,566.91 : 1,947,181.78 = 1,947,181.78 : x
  2. Step 2: Convert to fraction form
    1,329,566.91/1,947,181.78 = 1,947,181.78/x
  3. Step 3: Cross multiply
    1,329,566.91x = 1,947,181.78 × 1,947,181.78
  4. Step 4: Simplify right side
    1,329,566.91x = 3,791,516,889,231.92
  5. Step 5: Solve for x
    x = 3,791,516,889,231.92/1,329,566.91
  6. Step 6: Final answer
    x = 2,851,693.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.