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Finding the Third Proportional to 3,053,971 and 4,724,439

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Solution

The third proportional to 3,053,971 and 4,724,439 is: 7,308,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053,971 : 4,724,439 = 4,724,439 : x
  2. Step 2: Convert to fraction form
    3,053,971/4,724,439 = 4,724,439/x
  3. Step 3: Cross multiply
    3,053,971x = 4,724,439 × 4,724,439
  4. Step 4: Simplify right side
    3,053,971x = 22,320,323,864,721
  5. Step 5: Solve for x
    x = 22,320,323,864,721/3,053,971
  6. Step 6: Final answer
    x = 7,308,623.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.