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Finding the Third Proportional to 985,924 and 2,018,576

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Solution

The third proportional to 985,924 and 2,018,576 is: 4,132,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,924 : 2,018,576 = 2,018,576 : x
  2. Step 2: Convert to fraction form
    985,924/2,018,576 = 2,018,576/x
  3. Step 3: Cross multiply
    985,924x = 2,018,576 × 2,018,576
  4. Step 4: Simplify right side
    985,924x = 4,074,649,067,776
  5. Step 5: Solve for x
    x = 4,074,649,067,776/985,924
  6. Step 6: Final answer
    x = 4,132,822.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.