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Finding the Third Proportional to 679,113 and 919,021.50

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Solution

The third proportional to 679,113 and 919,021.50 is: 1,243,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,113 : 919,021.50 = 919,021.50 : x
  2. Step 2: Convert to fraction form
    679,113/919,021.50 = 919,021.50/x
  3. Step 3: Cross multiply
    679,113x = 919,021.50 × 919,021.50
  4. Step 4: Simplify right side
    679,113x = 844,600,517,462.25
  5. Step 5: Solve for x
    x = 844,600,517,462.25/679,113
  6. Step 6: Final answer
    x = 1,243,681.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.