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Finding the Third Proportional to 2,897,742 and 6,293,272

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Solution

The third proportional to 2,897,742 and 6,293,272 is: 13,667,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,742 : 6,293,272 = 6,293,272 : x
  2. Step 2: Convert to fraction form
    2,897,742/6,293,272 = 6,293,272/x
  3. Step 3: Cross multiply
    2,897,742x = 6,293,272 × 6,293,272
  4. Step 4: Simplify right side
    2,897,742x = 39,605,272,465,984
  5. Step 5: Solve for x
    x = 39,605,272,465,984/2,897,742
  6. Step 6: Final answer
    x = 13,667,632.41

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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.