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Finding the Third Proportional to 1,966,096.50 and 2,656,317

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Solution

The third proportional to 1,966,096.50 and 2,656,317 is: 3,588,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,096.50 : 2,656,317 = 2,656,317 : x
  2. Step 2: Convert to fraction form
    1,966,096.50/2,656,317 = 2,656,317/x
  3. Step 3: Cross multiply
    1,966,096.50x = 2,656,317 × 2,656,317
  4. Step 4: Simplify right side
    1,966,096.50x = 7,056,020,004,489
  5. Step 5: Solve for x
    x = 7,056,020,004,489/1,966,096.50
  6. Step 6: Final answer
    x = 3,588,847.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.