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Finding the Third Proportional to 574,924 and 1,209,422

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Solution

The third proportional to 574,924 and 1,209,422 is: 2,544,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,924 : 1,209,422 = 1,209,422 : x
  2. Step 2: Convert to fraction form
    574,924/1,209,422 = 1,209,422/x
  3. Step 3: Cross multiply
    574,924x = 1,209,422 × 1,209,422
  4. Step 4: Simplify right side
    574,924x = 1,462,701,574,084
  5. Step 5: Solve for x
    x = 1,462,701,574,084/574,924
  6. Step 6: Final answer
    x = 2,544,165.10

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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.