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Finding the Third Proportional to 2,645,838 and 5,609,604

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Solution

The third proportional to 2,645,838 and 5,609,604 is: 11,893,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,838 : 5,609,604 = 5,609,604 : x
  2. Step 2: Convert to fraction form
    2,645,838/5,609,604 = 5,609,604/x
  3. Step 3: Cross multiply
    2,645,838x = 5,609,604 × 5,609,604
  4. Step 4: Simplify right side
    2,645,838x = 31,467,657,036,816
  5. Step 5: Solve for x
    x = 31,467,657,036,816/2,645,838
  6. Step 6: Final answer
    x = 11,893,266.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.