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Finding the Third Proportional to 500,964 and 1,019,421

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Solution

The third proportional to 500,964 and 1,019,421 is: 2,074,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,964 : 1,019,421 = 1,019,421 : x
  2. Step 2: Convert to fraction form
    500,964/1,019,421 = 1,019,421/x
  3. Step 3: Cross multiply
    500,964x = 1,019,421 × 1,019,421
  4. Step 4: Simplify right side
    500,964x = 1,039,219,175,241
  5. Step 5: Solve for x
    x = 1,039,219,175,241/500,964
  6. Step 6: Final answer
    x = 2,074,438.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.