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Finding the Third Proportional to 4,391,225 and 6,852,421

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Solution

The third proportional to 4,391,225 and 6,852,421 is: 10,693,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,391,225 : 6,852,421 = 6,852,421 : x
  2. Step 2: Convert to fraction form
    4,391,225/6,852,421 = 6,852,421/x
  3. Step 3: Cross multiply
    4,391,225x = 6,852,421 × 6,852,421
  4. Step 4: Simplify right side
    4,391,225x = 46,955,673,561,241
  5. Step 5: Solve for x
    x = 46,955,673,561,241/4,391,225
  6. Step 6: Final answer
    x = 10,693,069.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.