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Finding the Third Proportional to 473,721 and 1,036,017

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Solution

The third proportional to 473,721 and 1,036,017 is: 2,265,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,721 : 1,036,017 = 1,036,017 : x
  2. Step 2: Convert to fraction form
    473,721/1,036,017 = 1,036,017/x
  3. Step 3: Cross multiply
    473,721x = 1,036,017 × 1,036,017
  4. Step 4: Simplify right side
    473,721x = 1,073,331,224,289
  5. Step 5: Solve for x
    x = 1,073,331,224,289/473,721
  6. Step 6: Final answer
    x = 2,265,745.50

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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.