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Finding the Third Proportional to 683,728 and 1,496,352

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Solution

The third proportional to 683,728 and 1,496,352 is: 3,274,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,728 : 1,496,352 = 1,496,352 : x
  2. Step 2: Convert to fraction form
    683,728/1,496,352 = 1,496,352/x
  3. Step 3: Cross multiply
    683,728x = 1,496,352 × 1,496,352
  4. Step 4: Simplify right side
    683,728x = 2,239,069,307,904
  5. Step 5: Solve for x
    x = 2,239,069,307,904/683,728
  6. Step 6: Final answer
    x = 3,274,795.40

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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.