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Finding the Third Proportional to 435,537 and 937,824

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Solution

The third proportional to 435,537 and 937,824 is: 2,019,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,537 : 937,824 = 937,824 : x
  2. Step 2: Convert to fraction form
    435,537/937,824 = 937,824/x
  3. Step 3: Cross multiply
    435,537x = 937,824 × 937,824
  4. Step 4: Simplify right side
    435,537x = 879,513,854,976
  5. Step 5: Solve for x
    x = 879,513,854,976/435,537
  6. Step 6: Final answer
    x = 2,019,378.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.