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Finding the Third Proportional to 402,742 and 940,614

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Solution

The third proportional to 402,742 and 940,614 is: 2,196,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742 : 940,614 = 940,614 : x
  2. Step 2: Convert to fraction form
    402,742/940,614 = 940,614/x
  3. Step 3: Cross multiply
    402,742x = 940,614 × 940,614
  4. Step 4: Simplify right side
    402,742x = 884,754,696,996
  5. Step 5: Solve for x
    x = 884,754,696,996/402,742
  6. Step 6: Final answer
    x = 2,196,827.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.