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Finding the Third Proportional to 615,243 and 962,937

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Solution

The third proportional to 615,243 and 962,937 is: 1,507,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,243 : 962,937 = 962,937 : x
  2. Step 2: Convert to fraction form
    615,243/962,937 = 962,937/x
  3. Step 3: Cross multiply
    615,243x = 962,937 × 962,937
  4. Step 4: Simplify right side
    615,243x = 927,247,665,969
  5. Step 5: Solve for x
    x = 927,247,665,969/615,243
  6. Step 6: Final answer
    x = 1,507,124.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.