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Finding the Third Proportional to 823,953.32 and 1,805,001.15

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Solution

The third proportional to 823,953.32 and 1,805,001.15 is: 3,954,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,953.32 : 1,805,001.15 = 1,805,001.15 : x
  2. Step 2: Convert to fraction form
    823,953.32/1,805,001.15 = 1,805,001.15/x
  3. Step 3: Cross multiply
    823,953.32x = 1,805,001.15 × 1,805,001.15
  4. Step 4: Simplify right side
    823,953.32x = 3,258,029,159,962.45
  5. Step 5: Solve for x
    x = 3,258,029,159,962.45/823,953.32
  6. Step 6: Final answer
    x = 3,954,142.90

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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.