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Finding the Third Proportional to 701,210 and 1,535,895

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Solution

The third proportional to 701,210 and 1,535,895 is: 3,364,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,210 : 1,535,895 = 1,535,895 : x
  2. Step 2: Convert to fraction form
    701,210/1,535,895 = 1,535,895/x
  3. Step 3: Cross multiply
    701,210x = 1,535,895 × 1,535,895
  4. Step 4: Simplify right side
    701,210x = 2,358,973,451,025
  5. Step 5: Solve for x
    x = 2,358,973,451,025/701,210
  6. Step 6: Final answer
    x = 3,364,146.90

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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.