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Finding the Third Proportional to 699,126 and 1,069,065

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Solution

The third proportional to 699,126 and 1,069,065 is: 1,634,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,126 : 1,069,065 = 1,069,065 : x
  2. Step 2: Convert to fraction form
    699,126/1,069,065 = 1,069,065/x
  3. Step 3: Cross multiply
    699,126x = 1,069,065 × 1,069,065
  4. Step 4: Simplify right side
    699,126x = 1,142,899,974,225
  5. Step 5: Solve for x
    x = 1,142,899,974,225/699,126
  6. Step 6: Final answer
    x = 1,634,755.36

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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.