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Finding the Third Proportional to 1,665,494 and 3,583,594

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Solution

The third proportional to 1,665,494 and 3,583,594 is: 7,710,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,494 : 3,583,594 = 3,583,594 : x
  2. Step 2: Convert to fraction form
    1,665,494/3,583,594 = 3,583,594/x
  3. Step 3: Cross multiply
    1,665,494x = 3,583,594 × 3,583,594
  4. Step 4: Simplify right side
    1,665,494x = 12,842,145,956,836
  5. Step 5: Solve for x
    x = 12,842,145,956,836/1,665,494
  6. Step 6: Final answer
    x = 7,710,712.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.