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Finding the Third Proportional to 656,129 and 948,229

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Solution

The third proportional to 656,129 and 948,229 is: 1,370,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,129 : 948,229 = 948,229 : x
  2. Step 2: Convert to fraction form
    656,129/948,229 = 948,229/x
  3. Step 3: Cross multiply
    656,129x = 948,229 × 948,229
  4. Step 4: Simplify right side
    656,129x = 899,138,236,441
  5. Step 5: Solve for x
    x = 899,138,236,441/656,129
  6. Step 6: Final answer
    x = 1,370,368.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.