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Finding the Third Proportional to 768,413.81 and 1,146,391.88

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Solution

The third proportional to 768,413.81 and 1,146,391.88 is: 1,710,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,413.81 : 1,146,391.88 = 1,146,391.88 : x
  2. Step 2: Convert to fraction form
    768,413.81/1,146,391.88 = 1,146,391.88/x
  3. Step 3: Cross multiply
    768,413.81x = 1,146,391.88 × 1,146,391.88
  4. Step 4: Simplify right side
    768,413.81x = 1,314,214,331,066.02
  5. Step 5: Solve for x
    x = 1,314,214,331,066.02/768,413.81
  6. Step 6: Final answer
    x = 1,710,295.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.