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Finding the Third Proportional to 599,246 and 1,283,785

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Solution

The third proportional to 599,246 and 1,283,785 is: 2,750,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,246 : 1,283,785 = 1,283,785 : x
  2. Step 2: Convert to fraction form
    599,246/1,283,785 = 1,283,785/x
  3. Step 3: Cross multiply
    599,246x = 1,283,785 × 1,283,785
  4. Step 4: Simplify right side
    599,246x = 1,648,103,926,225
  5. Step 5: Solve for x
    x = 1,648,103,926,225/599,246
  6. Step 6: Final answer
    x = 2,750,296.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.