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Finding the Third Proportional to 747,974 and 1,636,159

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Solution

The third proportional to 747,974 and 1,636,159 is: 3,579,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,974 : 1,636,159 = 1,636,159 : x
  2. Step 2: Convert to fraction form
    747,974/1,636,159 = 1,636,159/x
  3. Step 3: Cross multiply
    747,974x = 1,636,159 × 1,636,159
  4. Step 4: Simplify right side
    747,974x = 2,677,016,273,281
  5. Step 5: Solve for x
    x = 2,677,016,273,281/747,974
  6. Step 6: Final answer
    x = 3,579,023.17

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