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Finding the Third Proportional to 834,914.50 and 1,827,365

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Solution

The third proportional to 834,914.50 and 1,827,365 is: 3,999,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,914.50 : 1,827,365 = 1,827,365 : x
  2. Step 2: Convert to fraction form
    834,914.50/1,827,365 = 1,827,365/x
  3. Step 3: Cross multiply
    834,914.50x = 1,827,365 × 1,827,365
  4. Step 4: Simplify right side
    834,914.50x = 3,339,262,843,225
  5. Step 5: Solve for x
    x = 3,339,262,843,225/834,914.50
  6. Step 6: Final answer
    x = 3,999,526.71

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Why These Related Problems?

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