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Finding the Third Proportional to 1,299,661.13 and 2,898,156.38

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Solution

The third proportional to 1,299,661.13 and 2,898,156.38 is: 6,462,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,661.13 : 2,898,156.38 = 2,898,156.38 : x
  2. Step 2: Convert to fraction form
    1,299,661.13/2,898,156.38 = 2,898,156.38/x
  3. Step 3: Cross multiply
    1,299,661.13x = 2,898,156.38 × 2,898,156.38
  4. Step 4: Simplify right side
    1,299,661.13x = 8,399,310,373,953.14
  5. Step 5: Solve for x
    x = 8,399,310,373,953.14/1,299,661.13
  6. Step 6: Final answer
    x = 6,462,692.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.