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Finding the Third Proportional to 665,139 and 1,014,315

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Solution

The third proportional to 665,139 and 1,014,315 is: 1,546,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,139 : 1,014,315 = 1,014,315 : x
  2. Step 2: Convert to fraction form
    665,139/1,014,315 = 1,014,315/x
  3. Step 3: Cross multiply
    665,139x = 1,014,315 × 1,014,315
  4. Step 4: Simplify right side
    665,139x = 1,028,834,919,225
  5. Step 5: Solve for x
    x = 1,028,834,919,225/665,139
  6. Step 6: Final answer
    x = 1,546,796.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.