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Finding the Third Proportional to 996,968 and 1,507,344

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Solution

The third proportional to 996,968 and 1,507,344 is: 2,278,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,968 : 1,507,344 = 1,507,344 : x
  2. Step 2: Convert to fraction form
    996,968/1,507,344 = 1,507,344/x
  3. Step 3: Cross multiply
    996,968x = 1,507,344 × 1,507,344
  4. Step 4: Simplify right side
    996,968x = 2,272,085,934,336
  5. Step 5: Solve for x
    x = 2,272,085,934,336/996,968
  6. Step 6: Final answer
    x = 2,278,995.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.