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Finding the Third Proportional to 3,215,674 and 6,897,594

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Solution

The third proportional to 3,215,674 and 6,897,594 is: 14,795,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,674 : 6,897,594 = 6,897,594 : x
  2. Step 2: Convert to fraction form
    3,215,674/6,897,594 = 6,897,594/x
  3. Step 3: Cross multiply
    3,215,674x = 6,897,594 × 6,897,594
  4. Step 4: Simplify right side
    3,215,674x = 47,576,802,988,836
  5. Step 5: Solve for x
    x = 47,576,802,988,836/3,215,674
  6. Step 6: Final answer
    x = 14,795,281.79

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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.