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Finding the Third Proportional to 1,436,592 and 2,142,432

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Solution

The third proportional to 1,436,592 and 2,142,432 is: 3,195,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436,592 : 2,142,432 = 2,142,432 : x
  2. Step 2: Convert to fraction form
    1,436,592/2,142,432 = 2,142,432/x
  3. Step 3: Cross multiply
    1,436,592x = 2,142,432 × 2,142,432
  4. Step 4: Simplify right side
    1,436,592x = 4,590,014,874,624
  5. Step 5: Solve for x
    x = 4,590,014,874,624/1,436,592
  6. Step 6: Final answer
    x = 3,195,072

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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.