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Finding the Third Proportional to 2,748,025 and 5,873,423

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Solution

The third proportional to 2,748,025 and 5,873,423 is: 12,553,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748,025 : 5,873,423 = 5,873,423 : x
  2. Step 2: Convert to fraction form
    2,748,025/5,873,423 = 5,873,423/x
  3. Step 3: Cross multiply
    2,748,025x = 5,873,423 × 5,873,423
  4. Step 4: Simplify right side
    2,748,025x = 34,497,097,736,929
  5. Step 5: Solve for x
    x = 34,497,097,736,929/2,748,025
  6. Step 6: Final answer
    x = 12,553,414.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.