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Finding the Third Proportional to 668,845 and 1,010,398

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Solution

The third proportional to 668,845 and 1,010,398 is: 1,526,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,845 : 1,010,398 = 1,010,398 : x
  2. Step 2: Convert to fraction form
    668,845/1,010,398 = 1,010,398/x
  3. Step 3: Cross multiply
    668,845x = 1,010,398 × 1,010,398
  4. Step 4: Simplify right side
    668,845x = 1,020,904,118,404
  5. Step 5: Solve for x
    x = 1,020,904,118,404/668,845
  6. Step 6: Final answer
    x = 1,526,368.77

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