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Finding the Third Proportional to 890,413 and 1,972,904

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Solution

The third proportional to 890,413 and 1,972,904 is: 4,371,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,413 : 1,972,904 = 1,972,904 : x
  2. Step 2: Convert to fraction form
    890,413/1,972,904 = 1,972,904/x
  3. Step 3: Cross multiply
    890,413x = 1,972,904 × 1,972,904
  4. Step 4: Simplify right side
    890,413x = 3,892,350,193,216
  5. Step 5: Solve for x
    x = 3,892,350,193,216/890,413
  6. Step 6: Final answer
    x = 4,371,398.66

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.