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Finding the Third Proportional to 832,659 and 1,730,768

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Solution

The third proportional to 832,659 and 1,730,768 is: 3,597,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,659 : 1,730,768 = 1,730,768 : x
  2. Step 2: Convert to fraction form
    832,659/1,730,768 = 1,730,768/x
  3. Step 3: Cross multiply
    832,659x = 1,730,768 × 1,730,768
  4. Step 4: Simplify right side
    832,659x = 2,995,557,869,824
  5. Step 5: Solve for x
    x = 2,995,557,869,824/832,659
  6. Step 6: Final answer
    x = 3,597,580.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.