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Finding the Third Proportional to 981,284 and 1,461,558

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Solution

The third proportional to 981,284 and 1,461,558 is: 2,176,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,284 : 1,461,558 = 1,461,558 : x
  2. Step 2: Convert to fraction form
    981,284/1,461,558 = 1,461,558/x
  3. Step 3: Cross multiply
    981,284x = 1,461,558 × 1,461,558
  4. Step 4: Simplify right side
    981,284x = 2,136,151,787,364
  5. Step 5: Solve for x
    x = 2,136,151,787,364/981,284
  6. Step 6: Final answer
    x = 2,176,894.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.