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Finding the Third Proportional to 584,655 and 1,281,027

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Solution

The third proportional to 584,655 and 1,281,027 is: 2,806,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,655 : 1,281,027 = 1,281,027 : x
  2. Step 2: Convert to fraction form
    584,655/1,281,027 = 1,281,027/x
  3. Step 3: Cross multiply
    584,655x = 1,281,027 × 1,281,027
  4. Step 4: Simplify right side
    584,655x = 1,641,030,174,729
  5. Step 5: Solve for x
    x = 1,641,030,174,729/584,655
  6. Step 6: Final answer
    x = 2,806,835.10

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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.