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Finding the Third Proportional to 722,937 and 1,570,324

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Solution

The third proportional to 722,937 and 1,570,324 is: 3,410,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,937 : 1,570,324 = 1,570,324 : x
  2. Step 2: Convert to fraction form
    722,937/1,570,324 = 1,570,324/x
  3. Step 3: Cross multiply
    722,937x = 1,570,324 × 1,570,324
  4. Step 4: Simplify right side
    722,937x = 2,465,917,464,976
  5. Step 5: Solve for x
    x = 2,465,917,464,976/722,937
  6. Step 6: Final answer
    x = 3,410,971.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.