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Finding the Third Proportional to 786,404 and 1,684,858

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Solution

The third proportional to 786,404 and 1,684,858 is: 3,609,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,404 : 1,684,858 = 1,684,858 : x
  2. Step 2: Convert to fraction form
    786,404/1,684,858 = 1,684,858/x
  3. Step 3: Cross multiply
    786,404x = 1,684,858 × 1,684,858
  4. Step 4: Simplify right side
    786,404x = 2,838,746,480,164
  5. Step 5: Solve for x
    x = 2,838,746,480,164/786,404
  6. Step 6: Final answer
    x = 3,609,781.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.