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Finding the Third Proportional to 789,065 and 1,154,065

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Solution

The third proportional to 789,065 and 1,154,065 is: 1,687,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,065 : 1,154,065 = 1,154,065 : x
  2. Step 2: Convert to fraction form
    789,065/1,154,065 = 1,154,065/x
  3. Step 3: Cross multiply
    789,065x = 1,154,065 × 1,154,065
  4. Step 4: Simplify right side
    789,065x = 1,331,866,024,225
  5. Step 5: Solve for x
    x = 1,331,866,024,225/789,065
  6. Step 6: Final answer
    x = 1,687,904.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.