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Finding the Third Proportional to 599,289 and 1,287,513

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Solution

The third proportional to 599,289 and 1,287,513 is: 2,766,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,289 : 1,287,513 = 1,287,513 : x
  2. Step 2: Convert to fraction form
    599,289/1,287,513 = 1,287,513/x
  3. Step 3: Cross multiply
    599,289x = 1,287,513 × 1,287,513
  4. Step 4: Simplify right side
    599,289x = 1,657,689,725,169
  5. Step 5: Solve for x
    x = 1,657,689,725,169/599,289
  6. Step 6: Final answer
    x = 2,766,094.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.