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Finding the Third Proportional to 701,863 and 1,048,117

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Solution

The third proportional to 701,863 and 1,048,117 is: 1,565,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,863 : 1,048,117 = 1,048,117 : x
  2. Step 2: Convert to fraction form
    701,863/1,048,117 = 1,048,117/x
  3. Step 3: Cross multiply
    701,863x = 1,048,117 × 1,048,117
  4. Step 4: Simplify right side
    701,863x = 1,098,549,245,689
  5. Step 5: Solve for x
    x = 1,098,549,245,689/701,863
  6. Step 6: Final answer
    x = 1,565,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.