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Finding the Third Proportional to 1,301,109 and 2,819,421

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Solution

The third proportional to 1,301,109 and 2,819,421 is: 6,109,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,109 : 2,819,421 = 2,819,421 : x
  2. Step 2: Convert to fraction form
    1,301,109/2,819,421 = 2,819,421/x
  3. Step 3: Cross multiply
    1,301,109x = 2,819,421 × 2,819,421
  4. Step 4: Simplify right side
    1,301,109x = 7,949,134,775,241
  5. Step 5: Solve for x
    x = 7,949,134,775,241/1,301,109
  6. Step 6: Final answer
    x = 6,109,507.18

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Why These Related Problems?

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