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Finding the Third Proportional to 2,869,908 and 6,299,598

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Solution

The third proportional to 2,869,908 and 6,299,598 is: 13,827,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,908 : 6,299,598 = 6,299,598 : x
  2. Step 2: Convert to fraction form
    2,869,908/6,299,598 = 6,299,598/x
  3. Step 3: Cross multiply
    2,869,908x = 6,299,598 × 6,299,598
  4. Step 4: Simplify right side
    2,869,908x = 39,684,934,961,604
  5. Step 5: Solve for x
    x = 39,684,934,961,604/2,869,908
  6. Step 6: Final answer
    x = 13,827,946.74

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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.