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Finding the Third Proportional to 600,460 and 1,319,017

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Solution

The third proportional to 600,460 and 1,319,017 is: 2,897,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,460 : 1,319,017 = 1,319,017 : x
  2. Step 2: Convert to fraction form
    600,460/1,319,017 = 1,319,017/x
  3. Step 3: Cross multiply
    600,460x = 1,319,017 × 1,319,017
  4. Step 4: Simplify right side
    600,460x = 1,739,805,846,289
  5. Step 5: Solve for x
    x = 1,739,805,846,289/600,460
  6. Step 6: Final answer
    x = 2,897,455.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.