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Finding the Third Proportional to 574,317 and 1,224,090

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Solution

The third proportional to 574,317 and 1,224,090 is: 2,609,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,317 : 1,224,090 = 1,224,090 : x
  2. Step 2: Convert to fraction form
    574,317/1,224,090 = 1,224,090/x
  3. Step 3: Cross multiply
    574,317x = 1,224,090 × 1,224,090
  4. Step 4: Simplify right side
    574,317x = 1,498,396,328,100
  5. Step 5: Solve for x
    x = 1,498,396,328,100/574,317
  6. Step 6: Final answer
    x = 2,609,005.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.