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Finding the Third Proportional to 565,066.13 and 1,169,908.31

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Solution

The third proportional to 565,066.13 and 1,169,908.31 is: 2,422,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,066.13 : 1,169,908.31 = 1,169,908.31 : x
  2. Step 2: Convert to fraction form
    565,066.13/1,169,908.31 = 1,169,908.31/x
  3. Step 3: Cross multiply
    565,066.13x = 1,169,908.31 × 1,169,908.31
  4. Step 4: Simplify right side
    565,066.13x = 1,368,685,459,656.60
  5. Step 5: Solve for x
    x = 1,368,685,459,656.60/565,066.13
  6. Step 6: Final answer
    x = 2,422,168.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.