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Finding the Third Proportional to 1,053,206.50 and 2,268,644.25

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Solution

The third proportional to 1,053,206.50 and 2,268,644.25 is: 4,886,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,206.50 : 2,268,644.25 = 2,268,644.25 : x
  2. Step 2: Convert to fraction form
    1,053,206.50/2,268,644.25 = 2,268,644.25/x
  3. Step 3: Cross multiply
    1,053,206.50x = 2,268,644.25 × 2,268,644.25
  4. Step 4: Simplify right side
    1,053,206.50x = 5,146,746,733,058.06
  5. Step 5: Solve for x
    x = 5,146,746,733,058.06/1,053,206.50
  6. Step 6: Final answer
    x = 4,886,740.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.