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Finding the Third Proportional to 647,098.56 and 1,393,534.76

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Solution

The third proportional to 647,098.56 and 1,393,534.76 is: 3,000,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098.56 : 1,393,534.76 = 1,393,534.76 : x
  2. Step 2: Convert to fraction form
    647,098.56/1,393,534.76 = 1,393,534.76/x
  3. Step 3: Cross multiply
    647,098.56x = 1,393,534.76 × 1,393,534.76
  4. Step 4: Simplify right side
    647,098.56x = 1,941,939,121,231.54
  5. Step 5: Solve for x
    x = 1,941,939,121,231.54/647,098.56
  6. Step 6: Final answer
    x = 3,000,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.