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Finding the Third Proportional to 713,233 and 1,554,410

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Solution

The third proportional to 713,233 and 1,554,410 is: 3,387,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,233 : 1,554,410 = 1,554,410 : x
  2. Step 2: Convert to fraction form
    713,233/1,554,410 = 1,554,410/x
  3. Step 3: Cross multiply
    713,233x = 1,554,410 × 1,554,410
  4. Step 4: Simplify right side
    713,233x = 2,416,190,448,100
  5. Step 5: Solve for x
    x = 2,416,190,448,100/713,233
  6. Step 6: Final answer
    x = 3,387,659.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.