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Finding the Third Proportional to 2,878,220 and 6,335,968

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Solution

The third proportional to 2,878,220 and 6,335,968 is: 13,947,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,220 : 6,335,968 = 6,335,968 : x
  2. Step 2: Convert to fraction form
    2,878,220/6,335,968 = 6,335,968/x
  3. Step 3: Cross multiply
    2,878,220x = 6,335,968 × 6,335,968
  4. Step 4: Simplify right side
    2,878,220x = 40,144,490,497,024
  5. Step 5: Solve for x
    x = 40,144,490,497,024/2,878,220
  6. Step 6: Final answer
    x = 13,947,679.64

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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.