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Finding the Third Proportional to 830,608 and 1,818,464

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Solution

The third proportional to 830,608 and 1,818,464 is: 3,981,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,608 : 1,818,464 = 1,818,464 : x
  2. Step 2: Convert to fraction form
    830,608/1,818,464 = 1,818,464/x
  3. Step 3: Cross multiply
    830,608x = 1,818,464 × 1,818,464
  4. Step 4: Simplify right side
    830,608x = 3,306,811,319,296
  5. Step 5: Solve for x
    x = 3,306,811,319,296/830,608
  6. Step 6: Final answer
    x = 3,981,193.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.