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Finding the Third Proportional to 956,924 and 1,541,814

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Solution

The third proportional to 956,924 and 1,541,814 is: 2,484,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,924 : 1,541,814 = 1,541,814 : x
  2. Step 2: Convert to fraction form
    956,924/1,541,814 = 1,541,814/x
  3. Step 3: Cross multiply
    956,924x = 1,541,814 × 1,541,814
  4. Step 4: Simplify right side
    956,924x = 2,377,190,410,596
  5. Step 5: Solve for x
    x = 2,377,190,410,596/956,924
  6. Step 6: Final answer
    x = 2,484,199.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.