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Finding the Third Proportional to 2,878,212 and 6,335,952

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Solution

The third proportional to 2,878,212 and 6,335,952 is: 13,947,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,212 : 6,335,952 = 6,335,952 : x
  2. Step 2: Convert to fraction form
    2,878,212/6,335,952 = 6,335,952/x
  3. Step 3: Cross multiply
    2,878,212x = 6,335,952 × 6,335,952
  4. Step 4: Simplify right side
    2,878,212x = 40,144,287,746,304
  5. Step 5: Solve for x
    x = 40,144,287,746,304/2,878,212
  6. Step 6: Final answer
    x = 13,947,647.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.