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Finding the Third Proportional to 2,096,649.56 and 3,176,549.16

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Solution

The third proportional to 2,096,649.56 and 3,176,549.16 is: 4,812,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,649.56 : 3,176,549.16 = 3,176,549.16 : x
  2. Step 2: Convert to fraction form
    2,096,649.56/3,176,549.16 = 3,176,549.16/x
  3. Step 3: Cross multiply
    2,096,649.56x = 3,176,549.16 × 3,176,549.16
  4. Step 4: Simplify right side
    2,096,649.56x = 10,090,464,542,072.59
  5. Step 5: Solve for x
    x = 10,090,464,542,072.59/2,096,649.56
  6. Step 6: Final answer
    x = 4,812,661.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.