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Finding the Third Proportional to 452,754 and 942,714

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Solution

The third proportional to 452,754 and 942,714 is: 1,962,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,754 : 942,714 = 942,714 : x
  2. Step 2: Convert to fraction form
    452,754/942,714 = 942,714/x
  3. Step 3: Cross multiply
    452,754x = 942,714 × 942,714
  4. Step 4: Simplify right side
    452,754x = 888,709,685,796
  5. Step 5: Solve for x
    x = 888,709,685,796/452,754
  6. Step 6: Final answer
    x = 1,962,897.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.