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Finding the Third Proportional to 2,894,971 and 6,187,510

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Solution

The third proportional to 2,894,971 and 6,187,510 is: 13,224,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,971 : 6,187,510 = 6,187,510 : x
  2. Step 2: Convert to fraction form
    2,894,971/6,187,510 = 6,187,510/x
  3. Step 3: Cross multiply
    2,894,971x = 6,187,510 × 6,187,510
  4. Step 4: Simplify right side
    2,894,971x = 38,285,280,000,100
  5. Step 5: Solve for x
    x = 38,285,280,000,100/2,894,971
  6. Step 6: Final answer
    x = 13,224,754.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.