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Finding the Third Proportional to 1,024,926 and 2,242,914

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Solution

The third proportional to 1,024,926 and 2,242,914 is: 4,908,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,926 : 2,242,914 = 2,242,914 : x
  2. Step 2: Convert to fraction form
    1,024,926/2,242,914 = 2,242,914/x
  3. Step 3: Cross multiply
    1,024,926x = 2,242,914 × 2,242,914
  4. Step 4: Simplify right side
    1,024,926x = 5,030,663,211,396
  5. Step 5: Solve for x
    x = 5,030,663,211,396/1,024,926
  6. Step 6: Final answer
    x = 4,908,318.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.