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Finding the Third Proportional to 1,350,047.25 and 1,899,014.63

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Solution

The third proportional to 1,350,047.25 and 1,899,014.63 is: 2,671,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,047.25 : 1,899,014.63 = 1,899,014.63 : x
  2. Step 2: Convert to fraction form
    1,350,047.25/1,899,014.63 = 1,899,014.63/x
  3. Step 3: Cross multiply
    1,350,047.25x = 1,899,014.63 × 1,899,014.63
  4. Step 4: Simplify right side
    1,350,047.25x = 3,606,256,545,963.89
  5. Step 5: Solve for x
    x = 3,606,256,545,963.89/1,350,047.25
  6. Step 6: Final answer
    x = 2,671,207.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.