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Finding the Third Proportional to 581,286 and 1,277,146.50

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Solution

The third proportional to 581,286 and 1,277,146.50 is: 2,806,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,286 : 1,277,146.50 = 1,277,146.50 : x
  2. Step 2: Convert to fraction form
    581,286/1,277,146.50 = 1,277,146.50/x
  3. Step 3: Cross multiply
    581,286x = 1,277,146.50 × 1,277,146.50
  4. Step 4: Simplify right side
    581,286x = 1,631,103,182,462.25
  5. Step 5: Solve for x
    x = 1,631,103,182,462.25/581,286
  6. Step 6: Final answer
    x = 2,806,025.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.