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Finding the Third Proportional to 871,264 and 1,887,326

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Solution

The third proportional to 871,264 and 1,887,326 is: 4,088,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,264 : 1,887,326 = 1,887,326 : x
  2. Step 2: Convert to fraction form
    871,264/1,887,326 = 1,887,326/x
  3. Step 3: Cross multiply
    871,264x = 1,887,326 × 1,887,326
  4. Step 4: Simplify right side
    871,264x = 3,561,999,430,276
  5. Step 5: Solve for x
    x = 3,561,999,430,276/871,264
  6. Step 6: Final answer
    x = 4,088,312.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.