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Finding the Third Proportional to 574,928 and 1,209,438

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Solution

The third proportional to 574,928 and 1,209,438 is: 2,544,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,928 : 1,209,438 = 1,209,438 : x
  2. Step 2: Convert to fraction form
    574,928/1,209,438 = 1,209,438/x
  3. Step 3: Cross multiply
    574,928x = 1,209,438 × 1,209,438
  4. Step 4: Simplify right side
    574,928x = 1,462,740,275,844
  5. Step 5: Solve for x
    x = 1,462,740,275,844/574,928
  6. Step 6: Final answer
    x = 2,544,214.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.