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Finding the Third Proportional to 661,410 and 966,606.75

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Solution

The third proportional to 661,410 and 966,606.75 is: 1,412,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,410 : 966,606.75 = 966,606.75 : x
  2. Step 2: Convert to fraction form
    661,410/966,606.75 = 966,606.75/x
  3. Step 3: Cross multiply
    661,410x = 966,606.75 × 966,606.75
  4. Step 4: Simplify right side
    661,410x = 934,328,609,145.56
  5. Step 5: Solve for x
    x = 934,328,609,145.56/661,410
  6. Step 6: Final answer
    x = 1,412,631.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.