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Finding the Third Proportional to 684,915 and 1,090,795.50

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Solution

The third proportional to 684,915 and 1,090,795.50 is: 1,737,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,915 : 1,090,795.50 = 1,090,795.50 : x
  2. Step 2: Convert to fraction form
    684,915/1,090,795.50 = 1,090,795.50/x
  3. Step 3: Cross multiply
    684,915x = 1,090,795.50 × 1,090,795.50
  4. Step 4: Simplify right side
    684,915x = 1,189,834,822,820.25
  5. Step 5: Solve for x
    x = 1,189,834,822,820.25/684,915
  6. Step 6: Final answer
    x = 1,737,200.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.