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Finding the Third Proportional to 423,640.13 and 890,929.13

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Solution

The third proportional to 423,640.13 and 890,929.13 is: 1,873,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,640.13 : 890,929.13 = 890,929.13 : x
  2. Step 2: Convert to fraction form
    423,640.13/890,929.13 = 890,929.13/x
  3. Step 3: Cross multiply
    423,640.13x = 890,929.13 × 890,929.13
  4. Step 4: Simplify right side
    423,640.13x = 793,754,705,773.27
  5. Step 5: Solve for x
    x = 793,754,705,773.27/423,640.13
  6. Step 6: Final answer
    x = 1,873,653.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.