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Finding the Third Proportional to 789,723 and 1,154,968.50

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Solution

The third proportional to 789,723 and 1,154,968.50 is: 1,689,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,723 : 1,154,968.50 = 1,154,968.50 : x
  2. Step 2: Convert to fraction form
    789,723/1,154,968.50 = 1,154,968.50/x
  3. Step 3: Cross multiply
    789,723x = 1,154,968.50 × 1,154,968.50
  4. Step 4: Simplify right side
    789,723x = 1,333,952,235,992.25
  5. Step 5: Solve for x
    x = 1,333,952,235,992.25/789,723
  6. Step 6: Final answer
    x = 1,689,139.40

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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.