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Finding the Third Proportional to 1,243,347 and 2,748,009

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Solution

The third proportional to 1,243,347 and 2,748,009 is: 6,073,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,347 : 2,748,009 = 2,748,009 : x
  2. Step 2: Convert to fraction form
    1,243,347/2,748,009 = 2,748,009/x
  3. Step 3: Cross multiply
    1,243,347x = 2,748,009 × 2,748,009
  4. Step 4: Simplify right side
    1,243,347x = 7,551,553,464,081
  5. Step 5: Solve for x
    x = 7,551,553,464,081/1,243,347
  6. Step 6: Final answer
    x = 6,073,568.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.