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Finding the Third Proportional to 822,391.50 and 1,233,585

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Solution

The third proportional to 822,391.50 and 1,233,585 is: 1,850,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,391.50 : 1,233,585 = 1,233,585 : x
  2. Step 2: Convert to fraction form
    822,391.50/1,233,585 = 1,233,585/x
  3. Step 3: Cross multiply
    822,391.50x = 1,233,585 × 1,233,585
  4. Step 4: Simplify right side
    822,391.50x = 1,521,731,952,225
  5. Step 5: Solve for x
    x = 1,521,731,952,225/822,391.50
  6. Step 6: Final answer
    x = 1,850,374.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.