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Finding the Third Proportional to 574,921 and 1,209,421

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Solution

The third proportional to 574,921 and 1,209,421 is: 2,544,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,921 : 1,209,421 = 1,209,421 : x
  2. Step 2: Convert to fraction form
    574,921/1,209,421 = 1,209,421/x
  3. Step 3: Cross multiply
    574,921x = 1,209,421 × 1,209,421
  4. Step 4: Simplify right side
    574,921x = 1,462,699,155,241
  5. Step 5: Solve for x
    x = 1,462,699,155,241/574,921
  6. Step 6: Final answer
    x = 2,544,174.17

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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.