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Finding the Third Proportional to 1,264,785.75 and 2,985,600.38

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Solution

The third proportional to 1,264,785.75 and 2,985,600.38 is: 7,047,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,785.75 : 2,985,600.38 = 2,985,600.38 : x
  2. Step 2: Convert to fraction form
    1,264,785.75/2,985,600.38 = 2,985,600.38/x
  3. Step 3: Cross multiply
    1,264,785.75x = 2,985,600.38 × 2,985,600.38
  4. Step 4: Simplify right side
    1,264,785.75x = 8,913,809,599,200.14
  5. Step 5: Solve for x
    x = 8,913,809,599,200.14/1,264,785.75
  6. Step 6: Final answer
    x = 7,047,683.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.