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Finding the Third Proportional to 1,620,864 and 3,527,136

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Solution

The third proportional to 1,620,864 and 3,527,136 is: 7,675,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,864 : 3,527,136 = 3,527,136 : x
  2. Step 2: Convert to fraction form
    1,620,864/3,527,136 = 3,527,136/x
  3. Step 3: Cross multiply
    1,620,864x = 3,527,136 × 3,527,136
  4. Step 4: Simplify right side
    1,620,864x = 12,440,688,362,496
  5. Step 5: Solve for x
    x = 12,440,688,362,496/1,620,864
  6. Step 6: Final answer
    x = 7,675,343.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.