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Finding the Third Proportional to 974,622 and 1,461,933

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Solution

The third proportional to 974,622 and 1,461,933 is: 2,192,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,622 : 1,461,933 = 1,461,933 : x
  2. Step 2: Convert to fraction form
    974,622/1,461,933 = 1,461,933/x
  3. Step 3: Cross multiply
    974,622x = 1,461,933 × 1,461,933
  4. Step 4: Simplify right side
    974,622x = 2,137,248,096,489
  5. Step 5: Solve for x
    x = 2,137,248,096,489/974,622
  6. Step 6: Final answer
    x = 2,192,899.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.