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Finding the Third Proportional to 663,686 and 1,020,711

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Solution

The third proportional to 663,686 and 1,020,711 is: 1,569,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,686 : 1,020,711 = 1,020,711 : x
  2. Step 2: Convert to fraction form
    663,686/1,020,711 = 1,020,711/x
  3. Step 3: Cross multiply
    663,686x = 1,020,711 × 1,020,711
  4. Step 4: Simplify right side
    663,686x = 1,041,850,945,521
  5. Step 5: Solve for x
    x = 1,041,850,945,521/663,686
  6. Step 6: Final answer
    x = 1,569,794.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.