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Finding the Third Proportional to 981,420 and 1,477,046

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Solution

The third proportional to 981,420 and 1,477,046 is: 2,222,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,420 : 1,477,046 = 1,477,046 : x
  2. Step 2: Convert to fraction form
    981,420/1,477,046 = 1,477,046/x
  3. Step 3: Cross multiply
    981,420x = 1,477,046 × 1,477,046
  4. Step 4: Simplify right side
    981,420x = 2,181,664,886,116
  5. Step 5: Solve for x
    x = 2,181,664,886,116/981,420
  6. Step 6: Final answer
    x = 2,222,967.62

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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.