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Finding the Third Proportional to 656,170.03 and 1,364,718.38

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Solution

The third proportional to 656,170.03 and 1,364,718.38 is: 2,838,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,170.03 : 1,364,718.38 = 1,364,718.38 : x
  2. Step 2: Convert to fraction form
    656,170.03/1,364,718.38 = 1,364,718.38/x
  3. Step 3: Cross multiply
    656,170.03x = 1,364,718.38 × 1,364,718.38
  4. Step 4: Simplify right side
    656,170.03x = 1,862,456,243,062.64
  5. Step 5: Solve for x
    x = 1,862,456,243,062.64/656,170.03
  6. Step 6: Final answer
    x = 2,838,374.44

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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.