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Finding the Third Proportional to 615,744 and 921,144

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Solution

The third proportional to 615,744 and 921,144 is: 1,378,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,744 : 921,144 = 921,144 : x
  2. Step 2: Convert to fraction form
    615,744/921,144 = 921,144/x
  3. Step 3: Cross multiply
    615,744x = 921,144 × 921,144
  4. Step 4: Simplify right side
    615,744x = 848,506,268,736
  5. Step 5: Solve for x
    x = 848,506,268,736/615,744
  6. Step 6: Final answer
    x = 1,378,017.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.