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Finding the Third Proportional to 701,111 and 1,050,478

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Solution

The third proportional to 701,111 and 1,050,478 is: 1,573,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,111 : 1,050,478 = 1,050,478 : x
  2. Step 2: Convert to fraction form
    701,111/1,050,478 = 1,050,478/x
  3. Step 3: Cross multiply
    701,111x = 1,050,478 × 1,050,478
  4. Step 4: Simplify right side
    701,111x = 1,103,504,028,484
  5. Step 5: Solve for x
    x = 1,103,504,028,484/701,111
  6. Step 6: Final answer
    x = 1,573,936.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.