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Finding the Third Proportional to 1,221,350 and 2,610,421

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Solution

The third proportional to 1,221,350 and 2,610,421 is: 5,579,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,350 : 2,610,421 = 2,610,421 : x
  2. Step 2: Convert to fraction form
    1,221,350/2,610,421 = 2,610,421/x
  3. Step 3: Cross multiply
    1,221,350x = 2,610,421 × 2,610,421
  4. Step 4: Simplify right side
    1,221,350x = 6,814,297,797,241
  5. Step 5: Solve for x
    x = 6,814,297,797,241/1,221,350
  6. Step 6: Final answer
    x = 5,579,316.16

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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.