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Finding the Third Proportional to 817,474 and 1,909,376

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Solution

The third proportional to 817,474 and 1,909,376 is: 4,459,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,474 : 1,909,376 = 1,909,376 : x
  2. Step 2: Convert to fraction form
    817,474/1,909,376 = 1,909,376/x
  3. Step 3: Cross multiply
    817,474x = 1,909,376 × 1,909,376
  4. Step 4: Simplify right side
    817,474x = 3,645,716,709,376
  5. Step 5: Solve for x
    x = 3,645,716,709,376/817,474
  6. Step 6: Final answer
    x = 4,459,734.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.