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Finding the Third Proportional to 668,843 and 1,010,395

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Solution

The third proportional to 668,843 and 1,010,395 is: 1,526,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,843 : 1,010,395 = 1,010,395 : x
  2. Step 2: Convert to fraction form
    668,843/1,010,395 = 1,010,395/x
  3. Step 3: Cross multiply
    668,843x = 1,010,395 × 1,010,395
  4. Step 4: Simplify right side
    668,843x = 1,020,898,056,025
  5. Step 5: Solve for x
    x = 1,020,898,056,025/668,843
  6. Step 6: Final answer
    x = 1,526,364.27

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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.