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Finding the Third Proportional to 810,460.69 and 1,746,613.13

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Solution

The third proportional to 810,460.69 and 1,746,613.13 is: 3,764,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,460.69 : 1,746,613.13 = 1,746,613.13 : x
  2. Step 2: Convert to fraction form
    810,460.69/1,746,613.13 = 1,746,613.13/x
  3. Step 3: Cross multiply
    810,460.69x = 1,746,613.13 × 1,746,613.13
  4. Step 4: Simplify right side
    810,460.69x = 3,050,657,408,422.27
  5. Step 5: Solve for x
    x = 3,050,657,408,422.27/810,460.69
  6. Step 6: Final answer
    x = 3,764,102.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.