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Finding the Third Proportional to 473,719 and 1,036,012

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Solution

The third proportional to 473,719 and 1,036,012 is: 2,265,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,719 : 1,036,012 = 1,036,012 : x
  2. Step 2: Convert to fraction form
    473,719/1,036,012 = 1,036,012/x
  3. Step 3: Cross multiply
    473,719x = 1,036,012 × 1,036,012
  4. Step 4: Simplify right side
    473,719x = 1,073,320,864,144
  5. Step 5: Solve for x
    x = 1,073,320,864,144/473,719
  6. Step 6: Final answer
    x = 2,265,733.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.