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Finding the Third Proportional to 701,190 and 1,535,056

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Solution

The third proportional to 701,190 and 1,535,056 is: 3,360,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,190 : 1,535,056 = 1,535,056 : x
  2. Step 2: Convert to fraction form
    701,190/1,535,056 = 1,535,056/x
  3. Step 3: Cross multiply
    701,190x = 1,535,056 × 1,535,056
  4. Step 4: Simplify right side
    701,190x = 2,356,396,923,136
  5. Step 5: Solve for x
    x = 2,356,396,923,136/701,190
  6. Step 6: Final answer
    x = 3,360,568.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.