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Finding the Third Proportional to 876,384 and 1,841,319

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Solution

The third proportional to 876,384 and 1,841,319 is: 3,868,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,384 : 1,841,319 = 1,841,319 : x
  2. Step 2: Convert to fraction form
    876,384/1,841,319 = 1,841,319/x
  3. Step 3: Cross multiply
    876,384x = 1,841,319 × 1,841,319
  4. Step 4: Simplify right side
    876,384x = 3,390,455,659,761
  5. Step 5: Solve for x
    x = 3,390,455,659,761/876,384
  6. Step 6: Final answer
    x = 3,868,687.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.