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Finding the Third Proportional to 677,781 and 1,467,139.50

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Solution

The third proportional to 677,781 and 1,467,139.50 is: 3,175,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,781 : 1,467,139.50 = 1,467,139.50 : x
  2. Step 2: Convert to fraction form
    677,781/1,467,139.50 = 1,467,139.50/x
  3. Step 3: Cross multiply
    677,781x = 1,467,139.50 × 1,467,139.50
  4. Step 4: Simplify right side
    677,781x = 2,152,498,312,460.25
  5. Step 5: Solve for x
    x = 2,152,498,312,460.25/677,781
  6. Step 6: Final answer
    x = 3,175,802.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.