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Finding the Third Proportional to 686,752.17 and 1,009,573.88

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Solution

The third proportional to 686,752.17 and 1,009,573.88 is: 1,484,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,752.17 : 1,009,573.88 = 1,009,573.88 : x
  2. Step 2: Convert to fraction form
    686,752.17/1,009,573.88 = 1,009,573.88/x
  3. Step 3: Cross multiply
    686,752.17x = 1,009,573.88 × 1,009,573.88
  4. Step 4: Simplify right side
    686,752.17x = 1,019,239,409,082.52
  5. Step 5: Solve for x
    x = 1,019,239,409,082.52/686,752.17
  6. Step 6: Final answer
    x = 1,484,144.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.