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Finding the Third Proportional to 717,876 and 1,045,656

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Solution

The third proportional to 717,876 and 1,045,656 is: 1,523,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,876 : 1,045,656 = 1,045,656 : x
  2. Step 2: Convert to fraction form
    717,876/1,045,656 = 1,045,656/x
  3. Step 3: Cross multiply
    717,876x = 1,045,656 × 1,045,656
  4. Step 4: Simplify right side
    717,876x = 1,093,396,470,336
  5. Step 5: Solve for x
    x = 1,093,396,470,336/717,876
  6. Step 6: Final answer
    x = 1,523,099.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.