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Finding the Third Proportional to 982,533 and 1,562,359.50

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Solution

The third proportional to 982,533 and 1,562,359.50 is: 2,484,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,533 : 1,562,359.50 = 1,562,359.50 : x
  2. Step 2: Convert to fraction form
    982,533/1,562,359.50 = 1,562,359.50/x
  3. Step 3: Cross multiply
    982,533x = 1,562,359.50 × 1,562,359.50
  4. Step 4: Simplify right side
    982,533x = 2,440,967,207,240.25
  5. Step 5: Solve for x
    x = 2,440,967,207,240.25/982,533
  6. Step 6: Final answer
    x = 2,484,361.55

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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.