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Finding the Third Proportional to 656,122.78 and 1,364,596.88

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Solution

The third proportional to 656,122.78 and 1,364,596.88 is: 2,838,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,122.78 : 1,364,596.88 = 1,364,596.88 : x
  2. Step 2: Convert to fraction form
    656,122.78/1,364,596.88 = 1,364,596.88/x
  3. Step 3: Cross multiply
    656,122.78x = 1,364,596.88 × 1,364,596.88
  4. Step 4: Simplify right side
    656,122.78x = 1,862,124,631,259.77
  5. Step 5: Solve for x
    x = 1,862,124,631,259.77/656,122.78
  6. Step 6: Final answer
    x = 2,838,073.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.