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Finding the Third Proportional to 489,839,057.50 and 1,057,600,864

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Solution

The third proportional to 489,839,057.50 and 1,057,600,864 is: 2,283,443,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,839,057.50 : 1,057,600,864 = 1,057,600,864 : x
  2. Step 2: Convert to fraction form
    489,839,057.50/1,057,600,864 = 1,057,600,864/x
  3. Step 3: Cross multiply
    489,839,057.50x = 1,057,600,864 × 1,057,600,864
  4. Step 4: Simplify right side
    489,839,057.50x = 1,118,519,587,533,546,496
  5. Step 5: Solve for x
    x = 1,118,519,587,533,546,496/489,839,057.50
  6. Step 6: Final answer
    x = 2,283,443,041.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.