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Finding the Third Proportional to 642,974 and 1,374,526

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Solution

The third proportional to 642,974 and 1,374,526 is: 2,938,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,974 : 1,374,526 = 1,374,526 : x
  2. Step 2: Convert to fraction form
    642,974/1,374,526 = 1,374,526/x
  3. Step 3: Cross multiply
    642,974x = 1,374,526 × 1,374,526
  4. Step 4: Simplify right side
    642,974x = 1,889,321,724,676
  5. Step 5: Solve for x
    x = 1,889,321,724,676/642,974
  6. Step 6: Final answer
    x = 2,938,410.77

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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.