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Finding the Third Proportional to 838,400 and 1,818,580

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Solution

The third proportional to 838,400 and 1,818,580 is: 3,944,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,400 : 1,818,580 = 1,818,580 : x
  2. Step 2: Convert to fraction form
    838,400/1,818,580 = 1,818,580/x
  3. Step 3: Cross multiply
    838,400x = 1,818,580 × 1,818,580
  4. Step 4: Simplify right side
    838,400x = 3,307,233,216,400
  5. Step 5: Solve for x
    x = 3,307,233,216,400/838,400
  6. Step 6: Final answer
    x = 3,944,696.11

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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.