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Finding the Third Proportional to 575,727.75 and 1,217,885.63

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Solution

The third proportional to 575,727.75 and 1,217,885.63 is: 2,576,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,727.75 : 1,217,885.63 = 1,217,885.63 : x
  2. Step 2: Convert to fraction form
    575,727.75/1,217,885.63 = 1,217,885.63/x
  3. Step 3: Cross multiply
    575,727.75x = 1,217,885.63 × 1,217,885.63
  4. Step 4: Simplify right side
    575,727.75x = 1,483,245,395,581.64
  5. Step 5: Solve for x
    x = 1,483,245,395,581.64/575,727.75
  6. Step 6: Final answer
    x = 2,576,296.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.