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Finding the Third Proportional to 857,276 and 1,175,560

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Solution

The third proportional to 857,276 and 1,175,560 is: 1,612,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,276 : 1,175,560 = 1,175,560 : x
  2. Step 2: Convert to fraction form
    857,276/1,175,560 = 1,175,560/x
  3. Step 3: Cross multiply
    857,276x = 1,175,560 × 1,175,560
  4. Step 4: Simplify right side
    857,276x = 1,381,941,313,600
  5. Step 5: Solve for x
    x = 1,381,941,313,600/857,276
  6. Step 6: Final answer
    x = 1,612,014.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.