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Finding the Third Proportional to 476,724.23 and 1,029,070.83

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Solution

The third proportional to 476,724.23 and 1,029,070.83 is: 2,221,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,724.23 : 1,029,070.83 = 1,029,070.83 : x
  2. Step 2: Convert to fraction form
    476,724.23/1,029,070.83 = 1,029,070.83/x
  3. Step 3: Cross multiply
    476,724.23x = 1,029,070.83 × 1,029,070.83
  4. Step 4: Simplify right side
    476,724.23x = 1,058,986,769,297.87
  5. Step 5: Solve for x
    x = 1,058,986,769,297.87/476,724.23
  6. Step 6: Final answer
    x = 2,221,382.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.