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Finding the Third Proportional to 2,033,614 and 4,421,360

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Solution

The third proportional to 2,033,614 and 4,421,360 is: 9,612,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,614 : 4,421,360 = 4,421,360 : x
  2. Step 2: Convert to fraction form
    2,033,614/4,421,360 = 4,421,360/x
  3. Step 3: Cross multiply
    2,033,614x = 4,421,360 × 4,421,360
  4. Step 4: Simplify right side
    2,033,614x = 19,548,424,249,600
  5. Step 5: Solve for x
    x = 19,548,424,249,600/2,033,614
  6. Step 6: Final answer
    x = 9,612,652.28

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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.