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Finding the Third Proportional to 982,560 and 2,122,890.75

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Solution

The third proportional to 982,560 and 2,122,890.75 is: 4,586,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,560 : 2,122,890.75 = 2,122,890.75 : x
  2. Step 2: Convert to fraction form
    982,560/2,122,890.75 = 2,122,890.75/x
  3. Step 3: Cross multiply
    982,560x = 2,122,890.75 × 2,122,890.75
  4. Step 4: Simplify right side
    982,560x = 4,506,665,136,435.56
  5. Step 5: Solve for x
    x = 4,506,665,136,435.56/982,560
  6. Step 6: Final answer
    x = 4,586,656.42

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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.