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Finding the Third Proportional to 1,631,432 and 3,578,032

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Solution

The third proportional to 1,631,432 and 3,578,032 is: 7,847,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,432 : 3,578,032 = 3,578,032 : x
  2. Step 2: Convert to fraction form
    1,631,432/3,578,032 = 3,578,032/x
  3. Step 3: Cross multiply
    1,631,432x = 3,578,032 × 3,578,032
  4. Step 4: Simplify right side
    1,631,432x = 12,802,312,993,024
  5. Step 5: Solve for x
    x = 12,802,312,993,024/1,631,432
  6. Step 6: Final answer
    x = 7,847,285.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.