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Finding the Third Proportional to 629,184 and 1,358,464

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Solution

The third proportional to 629,184 and 1,358,464 is: 2,933,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,184 : 1,358,464 = 1,358,464 : x
  2. Step 2: Convert to fraction form
    629,184/1,358,464 = 1,358,464/x
  3. Step 3: Cross multiply
    629,184x = 1,358,464 × 1,358,464
  4. Step 4: Simplify right side
    629,184x = 1,845,424,439,296
  5. Step 5: Solve for x
    x = 1,845,424,439,296/629,184
  6. Step 6: Final answer
    x = 2,933,044.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.