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Finding the Third Proportional to 668,824 and 1,010,367

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Solution

The third proportional to 668,824 and 1,010,367 is: 1,526,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,824 : 1,010,367 = 1,010,367 : x
  2. Step 2: Convert to fraction form
    668,824/1,010,367 = 1,010,367/x
  3. Step 3: Cross multiply
    668,824x = 1,010,367 × 1,010,367
  4. Step 4: Simplify right side
    668,824x = 1,020,841,474,689
  5. Step 5: Solve for x
    x = 1,020,841,474,689/668,824
  6. Step 6: Final answer
    x = 1,526,323.03

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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.