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Finding the Third Proportional to 931,644 and 1,411,438

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Solution

The third proportional to 931,644 and 1,411,438 is: 2,138,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,644 : 1,411,438 = 1,411,438 : x
  2. Step 2: Convert to fraction form
    931,644/1,411,438 = 1,411,438/x
  3. Step 3: Cross multiply
    931,644x = 1,411,438 × 1,411,438
  4. Step 4: Simplify right side
    931,644x = 1,992,157,227,844
  5. Step 5: Solve for x
    x = 1,992,157,227,844/931,644
  6. Step 6: Final answer
    x = 2,138,324.54

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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.