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Finding the Third Proportional to 697,272 and 1,065,944

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Solution

The third proportional to 697,272 and 1,065,944 is: 1,629,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,272 : 1,065,944 = 1,065,944 : x
  2. Step 2: Convert to fraction form
    697,272/1,065,944 = 1,065,944/x
  3. Step 3: Cross multiply
    697,272x = 1,065,944 × 1,065,944
  4. Step 4: Simplify right side
    697,272x = 1,136,236,611,136
  5. Step 5: Solve for x
    x = 1,136,236,611,136/697,272
  6. Step 6: Final answer
    x = 1,629,545.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.