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Finding the Third Proportional to 677,961 and 1,459,705.50

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Solution

The third proportional to 677,961 and 1,459,705.50 is: 3,142,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,961 : 1,459,705.50 = 1,459,705.50 : x
  2. Step 2: Convert to fraction form
    677,961/1,459,705.50 = 1,459,705.50/x
  3. Step 3: Cross multiply
    677,961x = 1,459,705.50 × 1,459,705.50
  4. Step 4: Simplify right side
    677,961x = 2,130,740,146,730.25
  5. Step 5: Solve for x
    x = 2,130,740,146,730.25/677,961
  6. Step 6: Final answer
    x = 3,142,865.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.