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Finding the Third Proportional to 865,455 and 2,246,671.50

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Solution

The third proportional to 865,455 and 2,246,671.50 is: 5,832,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,455 : 2,246,671.50 = 2,246,671.50 : x
  2. Step 2: Convert to fraction form
    865,455/2,246,671.50 = 2,246,671.50/x
  3. Step 3: Cross multiply
    865,455x = 2,246,671.50 × 2,246,671.50
  4. Step 4: Simplify right side
    865,455x = 5,047,532,828,912.25
  5. Step 5: Solve for x
    x = 5,047,532,828,912.25/865,455
  6. Step 6: Final answer
    x = 5,832,230.25

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.