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Finding the Third Proportional to 683,490 and 1,061,043

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Solution

The third proportional to 683,490 and 1,061,043 is: 1,647,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,490 : 1,061,043 = 1,061,043 : x
  2. Step 2: Convert to fraction form
    683,490/1,061,043 = 1,061,043/x
  3. Step 3: Cross multiply
    683,490x = 1,061,043 × 1,061,043
  4. Step 4: Simplify right side
    683,490x = 1,125,812,247,849
  5. Step 5: Solve for x
    x = 1,125,812,247,849/683,490
  6. Step 6: Final answer
    x = 1,647,152.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.