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Finding the Third Proportional to 671,568 and 1,013,820

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Solution

The third proportional to 671,568 and 1,013,820 is: 1,530,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,568 : 1,013,820 = 1,013,820 : x
  2. Step 2: Convert to fraction form
    671,568/1,013,820 = 1,013,820/x
  3. Step 3: Cross multiply
    671,568x = 1,013,820 × 1,013,820
  4. Step 4: Simplify right side
    671,568x = 1,027,830,992,400
  5. Step 5: Solve for x
    x = 1,027,830,992,400/671,568
  6. Step 6: Final answer
    x = 1,530,494.29

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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.