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Finding the Third Proportional to 2,127,536 and 4,609,524

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Solution

The third proportional to 2,127,536 and 4,609,524 is: 9,987,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,536 : 4,609,524 = 4,609,524 : x
  2. Step 2: Convert to fraction form
    2,127,536/4,609,524 = 4,609,524/x
  3. Step 3: Cross multiply
    2,127,536x = 4,609,524 × 4,609,524
  4. Step 4: Simplify right side
    2,127,536x = 21,247,711,506,576
  5. Step 5: Solve for x
    x = 21,247,711,506,576/2,127,536
  6. Step 6: Final answer
    x = 9,987,004.45

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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.