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Finding the Third Proportional to 701,102 and 1,050,465

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Solution

The third proportional to 701,102 and 1,050,465 is: 1,573,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,102 : 1,050,465 = 1,050,465 : x
  2. Step 2: Convert to fraction form
    701,102/1,050,465 = 1,050,465/x
  3. Step 3: Cross multiply
    701,102x = 1,050,465 × 1,050,465
  4. Step 4: Simplify right side
    701,102x = 1,103,476,716,225
  5. Step 5: Solve for x
    x = 1,103,476,716,225/701,102
  6. Step 6: Final answer
    x = 1,573,917.51

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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.