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Finding the Third Proportional to 981,312 and 1,476,840

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Solution

The third proportional to 981,312 and 1,476,840 is: 2,222,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,312 : 1,476,840 = 1,476,840 : x
  2. Step 2: Convert to fraction form
    981,312/1,476,840 = 1,476,840/x
  3. Step 3: Cross multiply
    981,312x = 1,476,840 × 1,476,840
  4. Step 4: Simplify right side
    981,312x = 2,181,056,385,600
  5. Step 5: Solve for x
    x = 2,181,056,385,600/981,312
  6. Step 6: Final answer
    x = 2,222,592.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.