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Finding the Third Proportional to 820,938.75 and 1,796,503.13

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Solution

The third proportional to 820,938.75 and 1,796,503.13 is: 3,931,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,938.75 : 1,796,503.13 = 1,796,503.13 : x
  2. Step 2: Convert to fraction form
    820,938.75/1,796,503.13 = 1,796,503.13/x
  3. Step 3: Cross multiply
    820,938.75x = 1,796,503.13 × 1,796,503.13
  4. Step 4: Simplify right side
    820,938.75x = 3,227,423,478,134.77
  5. Step 5: Solve for x
    x = 3,227,423,478,134.77/820,938.75
  6. Step 6: Final answer
    x = 3,931,381.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.