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Finding the Third Proportional to 2,897,754 and 6,293,296

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Solution

The third proportional to 2,897,754 and 6,293,296 is: 13,667,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,754 : 6,293,296 = 6,293,296 : x
  2. Step 2: Convert to fraction form
    2,897,754/6,293,296 = 6,293,296/x
  3. Step 3: Cross multiply
    2,897,754x = 6,293,296 × 6,293,296
  4. Step 4: Simplify right side
    2,897,754x = 39,605,574,543,616
  5. Step 5: Solve for x
    x = 39,605,574,543,616/2,897,754
  6. Step 6: Final answer
    x = 13,667,680.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.