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Finding the Third Proportional to 574,918 and 1,209,410

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Solution

The third proportional to 574,918 and 1,209,410 is: 2,544,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,918 : 1,209,410 = 1,209,410 : x
  2. Step 2: Convert to fraction form
    574,918/1,209,410 = 1,209,410/x
  3. Step 3: Cross multiply
    574,918x = 1,209,410 × 1,209,410
  4. Step 4: Simplify right side
    574,918x = 1,462,672,548,100
  5. Step 5: Solve for x
    x = 1,462,672,548,100/574,918
  6. Step 6: Final answer
    x = 2,544,141.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.