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Finding the Third Proportional to 683,700 and 1,466,737.50

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Solution

The third proportional to 683,700 and 1,466,737.50 is: 3,146,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,700 : 1,466,737.50 = 1,466,737.50 : x
  2. Step 2: Convert to fraction form
    683,700/1,466,737.50 = 1,466,737.50/x
  3. Step 3: Cross multiply
    683,700x = 1,466,737.50 × 1,466,737.50
  4. Step 4: Simplify right side
    683,700x = 2,151,318,893,906.25
  5. Step 5: Solve for x
    x = 2,151,318,893,906.25/683,700
  6. Step 6: Final answer
    x = 3,146,583.14

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Why These Related Problems?

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