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Finding the Third Proportional to 1,827,760 and 3,960,294

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Solution

The third proportional to 1,827,760 and 3,960,294 is: 8,580,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,760 : 3,960,294 = 3,960,294 : x
  2. Step 2: Convert to fraction form
    1,827,760/3,960,294 = 3,960,294/x
  3. Step 3: Cross multiply
    1,827,760x = 3,960,294 × 3,960,294
  4. Step 4: Simplify right side
    1,827,760x = 15,683,928,566,436
  5. Step 5: Solve for x
    x = 15,683,928,566,436/1,827,760
  6. Step 6: Final answer
    x = 8,580,956.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.