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Finding the Third Proportional to 1,471,210 and 3,152,372

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Solution

The third proportional to 1,471,210 and 3,152,372 is: 6,754,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,210 : 3,152,372 = 3,152,372 : x
  2. Step 2: Convert to fraction form
    1,471,210/3,152,372 = 3,152,372/x
  3. Step 3: Cross multiply
    1,471,210x = 3,152,372 × 3,152,372
  4. Step 4: Simplify right side
    1,471,210x = 9,937,449,226,384
  5. Step 5: Solve for x
    x = 9,937,449,226,384/1,471,210
  6. Step 6: Final answer
    x = 6,754,609.62

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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.