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Finding the Third Proportional to 1,071,857.81 and 2,299,129.31

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Solution

The third proportional to 1,071,857.81 and 2,299,129.31 is: 4,931,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,857.81 : 2,299,129.31 = 2,299,129.31 : x
  2. Step 2: Convert to fraction form
    1,071,857.81/2,299,129.31 = 2,299,129.31/x
  3. Step 3: Cross multiply
    1,071,857.81x = 2,299,129.31 × 2,299,129.31
  4. Step 4: Simplify right side
    1,071,857.81x = 5,285,995,595,596.72
  5. Step 5: Solve for x
    x = 5,285,995,595,596.72/1,071,857.81
  6. Step 6: Final answer
    x = 4,931,620.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.