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Finding the Third Proportional to 600,470 and 1,319,036

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Solution

The third proportional to 600,470 and 1,319,036 is: 2,897,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,470 : 1,319,036 = 1,319,036 : x
  2. Step 2: Convert to fraction form
    600,470/1,319,036 = 1,319,036/x
  3. Step 3: Cross multiply
    600,470x = 1,319,036 × 1,319,036
  4. Step 4: Simplify right side
    600,470x = 1,739,855,969,296
  5. Step 5: Solve for x
    x = 1,739,855,969,296/600,470
  6. Step 6: Final answer
    x = 2,897,490.25

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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.