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Finding the Third Proportional to 645,102.56 and 1,024,857.56

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Solution

The third proportional to 645,102.56 and 1,024,857.56 is: 1,628,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,102.56 : 1,024,857.56 = 1,024,857.56 : x
  2. Step 2: Convert to fraction form
    645,102.56/1,024,857.56 = 1,024,857.56/x
  3. Step 3: Cross multiply
    645,102.56x = 1,024,857.56 × 1,024,857.56
  4. Step 4: Simplify right side
    645,102.56x = 1,050,333,023,413.44
  5. Step 5: Solve for x
    x = 1,050,333,023,413.44/645,102.56
  6. Step 6: Final answer
    x = 1,628,164.40

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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.