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Finding the Third Proportional to 820,153.13 and 1,766,032.88

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Solution

The third proportional to 820,153.13 and 1,766,032.88 is: 3,802,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,153.13 : 1,766,032.88 = 1,766,032.88 : x
  2. Step 2: Convert to fraction form
    820,153.13/1,766,032.88 = 1,766,032.88/x
  3. Step 3: Cross multiply
    820,153.13x = 1,766,032.88 × 1,766,032.88
  4. Step 4: Simplify right side
    820,153.13x = 3,118,872,115,580.77
  5. Step 5: Solve for x
    x = 3,118,872,115,580.77/820,153.13
  6. Step 6: Final answer
    x = 3,802,792.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.