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Finding the Third Proportional to 472,709 and 1,011,864

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Solution

The third proportional to 472,709 and 1,011,864 is: 2,165,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,709 : 1,011,864 = 1,011,864 : x
  2. Step 2: Convert to fraction form
    472,709/1,011,864 = 1,011,864/x
  3. Step 3: Cross multiply
    472,709x = 1,011,864 × 1,011,864
  4. Step 4: Simplify right side
    472,709x = 1,023,868,754,496
  5. Step 5: Solve for x
    x = 1,023,868,754,496/472,709
  6. Step 6: Final answer
    x = 2,165,959.93

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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.