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Finding the Third Proportional to 584,647.88 and 1,281,015

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Solution

The third proportional to 584,647.88 and 1,281,015 is: 2,806,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,647.88 : 1,281,015 = 1,281,015 : x
  2. Step 2: Convert to fraction form
    584,647.88/1,281,015 = 1,281,015/x
  3. Step 3: Cross multiply
    584,647.88x = 1,281,015 × 1,281,015
  4. Step 4: Simplify right side
    584,647.88x = 1,640,999,430,225
  5. Step 5: Solve for x
    x = 1,640,999,430,225/584,647.88
  6. Step 6: Final answer
    x = 2,806,816.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.