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Finding the Third Proportional to 986,410 and 1,479,617

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Solution

The third proportional to 986,410 and 1,479,617 is: 2,219,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,410 : 1,479,617 = 1,479,617 : x
  2. Step 2: Convert to fraction form
    986,410/1,479,617 = 1,479,617/x
  3. Step 3: Cross multiply
    986,410x = 1,479,617 × 1,479,617
  4. Step 4: Simplify right side
    986,410x = 2,189,266,466,689
  5. Step 5: Solve for x
    x = 2,189,266,466,689/986,410
  6. Step 6: Final answer
    x = 2,219,428.50

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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.