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Finding the Third Proportional to 696,025 and 1,519,886

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Solution

The third proportional to 696,025 and 1,519,886 is: 3,318,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,025 : 1,519,886 = 1,519,886 : x
  2. Step 2: Convert to fraction form
    696,025/1,519,886 = 1,519,886/x
  3. Step 3: Cross multiply
    696,025x = 1,519,886 × 1,519,886
  4. Step 4: Simplify right side
    696,025x = 2,310,053,452,996
  5. Step 5: Solve for x
    x = 2,310,053,452,996/696,025
  6. Step 6: Final answer
    x = 3,318,923.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.