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Finding the Third Proportional to 692,386 and 1,439,809

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Solution

The third proportional to 692,386 and 1,439,809 is: 2,994,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,386 : 1,439,809 = 1,439,809 : x
  2. Step 2: Convert to fraction form
    692,386/1,439,809 = 1,439,809/x
  3. Step 3: Cross multiply
    692,386x = 1,439,809 × 1,439,809
  4. Step 4: Simplify right side
    692,386x = 2,073,049,956,481
  5. Step 5: Solve for x
    x = 2,073,049,956,481/692,386
  6. Step 6: Final answer
    x = 2,994,066.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.