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Finding the Third Proportional to 724,905 and 1,569,278

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Solution

The third proportional to 724,905 and 1,569,278 is: 3,397,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,905 : 1,569,278 = 1,569,278 : x
  2. Step 2: Convert to fraction form
    724,905/1,569,278 = 1,569,278/x
  3. Step 3: Cross multiply
    724,905x = 1,569,278 × 1,569,278
  4. Step 4: Simplify right side
    724,905x = 2,462,633,441,284
  5. Step 5: Solve for x
    x = 2,462,633,441,284/724,905
  6. Step 6: Final answer
    x = 3,397,180.93

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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.