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Finding the Third Proportional to 668,833 and 1,010,381

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Solution

The third proportional to 668,833 and 1,010,381 is: 1,526,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,833 : 1,010,381 = 1,010,381 : x
  2. Step 2: Convert to fraction form
    668,833/1,010,381 = 1,010,381/x
  3. Step 3: Cross multiply
    668,833x = 1,010,381 × 1,010,381
  4. Step 4: Simplify right side
    668,833x = 1,020,869,765,161
  5. Step 5: Solve for x
    x = 1,020,869,765,161/668,833
  6. Step 6: Final answer
    x = 1,526,344.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.