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Finding the Third Proportional to 1,827,596 and 3,960,276

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Solution

The third proportional to 1,827,596 and 3,960,276 is: 8,581,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,596 : 3,960,276 = 3,960,276 : x
  2. Step 2: Convert to fraction form
    1,827,596/3,960,276 = 3,960,276/x
  3. Step 3: Cross multiply
    1,827,596x = 3,960,276 × 3,960,276
  4. Step 4: Simplify right side
    1,827,596x = 15,683,785,996,176
  5. Step 5: Solve for x
    x = 15,683,785,996,176/1,827,596
  6. Step 6: Final answer
    x = 8,581,648.24

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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.