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Finding the Third Proportional to 869,364 and 1,145,934

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Solution

The third proportional to 869,364 and 1,145,934 is: 1,510,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,364 : 1,145,934 = 1,145,934 : x
  2. Step 2: Convert to fraction form
    869,364/1,145,934 = 1,145,934/x
  3. Step 3: Cross multiply
    869,364x = 1,145,934 × 1,145,934
  4. Step 4: Simplify right side
    869,364x = 1,313,164,732,356
  5. Step 5: Solve for x
    x = 1,313,164,732,356/869,364
  6. Step 6: Final answer
    x = 1,510,488.97

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.