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Finding the Third Proportional to 838,398 and 1,818,574.75

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Solution

The third proportional to 838,398 and 1,818,574.75 is: 3,944,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,398 : 1,818,574.75 = 1,818,574.75 : x
  2. Step 2: Convert to fraction form
    838,398/1,818,574.75 = 1,818,574.75/x
  3. Step 3: Cross multiply
    838,398x = 1,818,574.75 × 1,818,574.75
  4. Step 4: Simplify right side
    838,398x = 3,307,214,121,337.56
  5. Step 5: Solve for x
    x = 3,307,214,121,337.56/838,398
  6. Step 6: Final answer
    x = 3,944,682.74

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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.