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Finding the Third Proportional to 824,897.25 and 1,245,645

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Solution

The third proportional to 824,897.25 and 1,245,645 is: 1,880,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,897.25 : 1,245,645 = 1,245,645 : x
  2. Step 2: Convert to fraction form
    824,897.25/1,245,645 = 1,245,645/x
  3. Step 3: Cross multiply
    824,897.25x = 1,245,645 × 1,245,645
  4. Step 4: Simplify right side
    824,897.25x = 1,551,631,466,025
  5. Step 5: Solve for x
    x = 1,551,631,466,025/824,897.25
  6. Step 6: Final answer
    x = 1,880,999.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.