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Finding the Third Proportional to 500,580 and 1,067,607

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Solution

The third proportional to 500,580 and 1,067,607 is: 2,276,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,580 : 1,067,607 = 1,067,607 : x
  2. Step 2: Convert to fraction form
    500,580/1,067,607 = 1,067,607/x
  3. Step 3: Cross multiply
    500,580x = 1,067,607 × 1,067,607
  4. Step 4: Simplify right side
    500,580x = 1,139,784,706,449
  5. Step 5: Solve for x
    x = 1,139,784,706,449/500,580
  6. Step 6: Final answer
    x = 2,276,928.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.