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Finding the Third Proportional to 656,282.25 and 1,434,034.13

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Solution

The third proportional to 656,282.25 and 1,434,034.13 is: 3,133,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,282.25 : 1,434,034.13 = 1,434,034.13 : x
  2. Step 2: Convert to fraction form
    656,282.25/1,434,034.13 = 1,434,034.13/x
  3. Step 3: Cross multiply
    656,282.25x = 1,434,034.13 × 1,434,034.13
  4. Step 4: Simplify right side
    656,282.25x = 2,056,453,871,664.52
  5. Step 5: Solve for x
    x = 2,056,453,871,664.52/656,282.25
  6. Step 6: Final answer
    x = 3,133,490.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.