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Finding the Third Proportional to 640,994 and 1,367,785

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Solution

The third proportional to 640,994 and 1,367,785 is: 2,918,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,994 : 1,367,785 = 1,367,785 : x
  2. Step 2: Convert to fraction form
    640,994/1,367,785 = 1,367,785/x
  3. Step 3: Cross multiply
    640,994x = 1,367,785 × 1,367,785
  4. Step 4: Simplify right side
    640,994x = 1,870,835,806,225
  5. Step 5: Solve for x
    x = 1,870,835,806,225/640,994
  6. Step 6: Final answer
    x = 2,918,647.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.