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Finding the Third Proportional to 950,916 and 1,477,158

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Solution

The third proportional to 950,916 and 1,477,158 is: 2,294,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,916 : 1,477,158 = 1,477,158 : x
  2. Step 2: Convert to fraction form
    950,916/1,477,158 = 1,477,158/x
  3. Step 3: Cross multiply
    950,916x = 1,477,158 × 1,477,158
  4. Step 4: Simplify right side
    950,916x = 2,181,995,756,964
  5. Step 5: Solve for x
    x = 2,181,995,756,964/950,916
  6. Step 6: Final answer
    x = 2,294,625.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.