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Finding the Third Proportional to 377,111 and 824,720

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Solution

The third proportional to 377,111 and 824,720 is: 1,803,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,111 : 824,720 = 824,720 : x
  2. Step 2: Convert to fraction form
    377,111/824,720 = 824,720/x
  3. Step 3: Cross multiply
    377,111x = 824,720 × 824,720
  4. Step 4: Simplify right side
    377,111x = 680,163,078,400
  5. Step 5: Solve for x
    x = 680,163,078,400/377,111
  6. Step 6: Final answer
    x = 1,803,615.06

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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.