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Finding the Third Proportional to 473,976 and 1,014,382

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Solution

The third proportional to 473,976 and 1,014,382 is: 2,170,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,976 : 1,014,382 = 1,014,382 : x
  2. Step 2: Convert to fraction form
    473,976/1,014,382 = 1,014,382/x
  3. Step 3: Cross multiply
    473,976x = 1,014,382 × 1,014,382
  4. Step 4: Simplify right side
    473,976x = 1,028,970,841,924
  5. Step 5: Solve for x
    x = 1,028,970,841,924/473,976
  6. Step 6: Final answer
    x = 2,170,934.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.