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Finding the Third Proportional to 472,706 and 1,011,858

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Solution

The third proportional to 472,706 and 1,011,858 is: 2,165,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,706 : 1,011,858 = 1,011,858 : x
  2. Step 2: Convert to fraction form
    472,706/1,011,858 = 1,011,858/x
  3. Step 3: Cross multiply
    472,706x = 1,011,858 × 1,011,858
  4. Step 4: Simplify right side
    472,706x = 1,023,856,612,164
  5. Step 5: Solve for x
    x = 1,023,856,612,164/472,706
  6. Step 6: Final answer
    x = 2,165,947.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.