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Finding the Third Proportional to 429,018 and 940,458

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Solution

The third proportional to 429,018 and 940,458 is: 2,061,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,018 : 940,458 = 940,458 : x
  2. Step 2: Convert to fraction form
    429,018/940,458 = 940,458/x
  3. Step 3: Cross multiply
    429,018x = 940,458 × 940,458
  4. Step 4: Simplify right side
    429,018x = 884,461,249,764
  5. Step 5: Solve for x
    x = 884,461,249,764/429,018
  6. Step 6: Final answer
    x = 2,061,594.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.