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Finding the Third Proportional to 2,897,724 and 6,293,292

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Solution

The third proportional to 2,897,724 and 6,293,292 is: 13,667,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,724 : 6,293,292 = 6,293,292 : x
  2. Step 2: Convert to fraction form
    2,897,724/6,293,292 = 6,293,292/x
  3. Step 3: Cross multiply
    2,897,724x = 6,293,292 × 6,293,292
  4. Step 4: Simplify right side
    2,897,724x = 39,605,524,197,264
  5. Step 5: Solve for x
    x = 39,605,524,197,264/2,897,724
  6. Step 6: Final answer
    x = 13,667,804.18

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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.