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Finding the Third Proportional to 795,866 and 1,234,143

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Solution

The third proportional to 795,866 and 1,234,143 is: 1,913,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,866 : 1,234,143 = 1,234,143 : x
  2. Step 2: Convert to fraction form
    795,866/1,234,143 = 1,234,143/x
  3. Step 3: Cross multiply
    795,866x = 1,234,143 × 1,234,143
  4. Step 4: Simplify right side
    795,866x = 1,523,108,944,449
  5. Step 5: Solve for x
    x = 1,523,108,944,449/795,866
  6. Step 6: Final answer
    x = 1,913,775.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.