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Finding the Third Proportional to 473,979 and 1,036,629

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Solution

The third proportional to 473,979 and 1,036,629 is: 2,267,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,979 : 1,036,629 = 1,036,629 : x
  2. Step 2: Convert to fraction form
    473,979/1,036,629 = 1,036,629/x
  3. Step 3: Cross multiply
    473,979x = 1,036,629 × 1,036,629
  4. Step 4: Simplify right side
    473,979x = 1,074,599,683,641
  5. Step 5: Solve for x
    x = 1,074,599,683,641/473,979
  6. Step 6: Final answer
    x = 2,267,188.39

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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.