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Finding the Third Proportional to 824,904 and 1,747,440

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Solution

The third proportional to 824,904 and 1,747,440 is: 3,701,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,904 : 1,747,440 = 1,747,440 : x
  2. Step 2: Convert to fraction form
    824,904/1,747,440 = 1,747,440/x
  3. Step 3: Cross multiply
    824,904x = 1,747,440 × 1,747,440
  4. Step 4: Simplify right side
    824,904x = 3,053,546,553,600
  5. Step 5: Solve for x
    x = 3,053,546,553,600/824,904
  6. Step 6: Final answer
    x = 3,701,699.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.