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Finding the Third Proportional to 687,619.13 and 933,843.94

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Solution

The third proportional to 687,619.13 and 933,843.94 is: 1,268,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,619.13 : 933,843.94 = 933,843.94 : x
  2. Step 2: Convert to fraction form
    687,619.13/933,843.94 = 933,843.94/x
  3. Step 3: Cross multiply
    687,619.13x = 933,843.94 × 933,843.94
  4. Step 4: Simplify right side
    687,619.13x = 872,064,499,605.50
  5. Step 5: Solve for x
    x = 872,064,499,605.50/687,619.13
  6. Step 6: Final answer
    x = 1,268,237.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.