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Finding the Third Proportional to 765,229 and 1,143,844

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Solution

The third proportional to 765,229 and 1,143,844 is: 1,709,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,229 : 1,143,844 = 1,143,844 : x
  2. Step 2: Convert to fraction form
    765,229/1,143,844 = 1,143,844/x
  3. Step 3: Cross multiply
    765,229x = 1,143,844 × 1,143,844
  4. Step 4: Simplify right side
    765,229x = 1,308,379,096,336
  5. Step 5: Solve for x
    x = 1,308,379,096,336/765,229
  6. Step 6: Final answer
    x = 1,709,787.65

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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.