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Finding the Third Proportional to 464,314.78 and 1,005,916.22

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Solution

The third proportional to 464,314.78 and 1,005,916.22 is: 2,179,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,314.78 : 1,005,916.22 = 1,005,916.22 : x
  2. Step 2: Convert to fraction form
    464,314.78/1,005,916.22 = 1,005,916.22/x
  3. Step 3: Cross multiply
    464,314.78x = 1,005,916.22 × 1,005,916.22
  4. Step 4: Simplify right side
    464,314.78x = 1,011,867,439,144.30
  5. Step 5: Solve for x
    x = 1,011,867,439,144.30/464,314.78
  6. Step 6: Final answer
    x = 2,179,270.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.