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Finding the Third Proportional to 1,444,414 and 2,235,421

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Solution

The third proportional to 1,444,414 and 2,235,421 is: 3,459,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444,414 : 2,235,421 = 2,235,421 : x
  2. Step 2: Convert to fraction form
    1,444,414/2,235,421 = 2,235,421/x
  3. Step 3: Cross multiply
    1,444,414x = 2,235,421 × 2,235,421
  4. Step 4: Simplify right side
    1,444,414x = 4,997,107,047,241
  5. Step 5: Solve for x
    x = 4,997,107,047,241/1,444,414
  6. Step 6: Final answer
    x = 3,459,608.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.