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Finding the Third Proportional to 574,080 and 1,226,688

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Solution

The third proportional to 574,080 and 1,226,688 is: 2,621,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,080 : 1,226,688 = 1,226,688 : x
  2. Step 2: Convert to fraction form
    574,080/1,226,688 = 1,226,688/x
  3. Step 3: Cross multiply
    574,080x = 1,226,688 × 1,226,688
  4. Step 4: Simplify right side
    574,080x = 1,504,763,449,344
  5. Step 5: Solve for x
    x = 1,504,763,449,344/574,080
  6. Step 6: Final answer
    x = 2,621,173.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.