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Finding the Third Proportional to 629,083 and 1,346,331

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Solution

The third proportional to 629,083 and 1,346,331 is: 2,881,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,083 : 1,346,331 = 1,346,331 : x
  2. Step 2: Convert to fraction form
    629,083/1,346,331 = 1,346,331/x
  3. Step 3: Cross multiply
    629,083x = 1,346,331 × 1,346,331
  4. Step 4: Simplify right side
    629,083x = 1,812,607,161,561
  5. Step 5: Solve for x
    x = 1,812,607,161,561/629,083
  6. Step 6: Final answer
    x = 2,881,348.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.