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Finding the Third Proportional to 574,919 and 1,209,417

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Solution

The third proportional to 574,919 and 1,209,417 is: 2,544,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,919 : 1,209,417 = 1,209,417 : x
  2. Step 2: Convert to fraction form
    574,919/1,209,417 = 1,209,417/x
  3. Step 3: Cross multiply
    574,919x = 1,209,417 × 1,209,417
  4. Step 4: Simplify right side
    574,919x = 1,462,689,479,889
  5. Step 5: Solve for x
    x = 1,462,689,479,889/574,919
  6. Step 6: Final answer
    x = 2,544,166.19

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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.