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Finding the Third Proportional to 771,013.69 and 1,664,271.56

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Solution

The third proportional to 771,013.69 and 1,664,271.56 is: 3,592,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,013.69 : 1,664,271.56 = 1,664,271.56 : x
  2. Step 2: Convert to fraction form
    771,013.69/1,664,271.56 = 1,664,271.56/x
  3. Step 3: Cross multiply
    771,013.69x = 1,664,271.56 × 1,664,271.56
  4. Step 4: Simplify right side
    771,013.69x = 2,769,799,833,746.19
  5. Step 5: Solve for x
    x = 2,769,799,833,746.19/771,013.69
  6. Step 6: Final answer
    x = 3,592,413.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.