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Finding the Third Proportional to 4,069,866 and 6,478,414

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Solution

The third proportional to 4,069,866 and 6,478,414 is: 10,312,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,866 : 6,478,414 = 6,478,414 : x
  2. Step 2: Convert to fraction form
    4,069,866/6,478,414 = 6,478,414/x
  3. Step 3: Cross multiply
    4,069,866x = 6,478,414 × 6,478,414
  4. Step 4: Simplify right side
    4,069,866x = 41,969,847,955,396
  5. Step 5: Solve for x
    x = 41,969,847,955,396/4,069,866
  6. Step 6: Final answer
    x = 10,312,341.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.