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Finding the Third Proportional to 2,878,830 and 6,200,526

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Solution

The third proportional to 2,878,830 and 6,200,526 is: 13,354,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,830 : 6,200,526 = 6,200,526 : x
  2. Step 2: Convert to fraction form
    2,878,830/6,200,526 = 6,200,526/x
  3. Step 3: Cross multiply
    2,878,830x = 6,200,526 × 6,200,526
  4. Step 4: Simplify right side
    2,878,830x = 38,446,522,676,676
  5. Step 5: Solve for x
    x = 38,446,522,676,676/2,878,830
  6. Step 6: Final answer
    x = 13,354,912.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.