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Finding the Third Proportional to 523,848 and 1,124,160

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Solution

The third proportional to 523,848 and 1,124,160 is: 2,412,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,848 : 1,124,160 = 1,124,160 : x
  2. Step 2: Convert to fraction form
    523,848/1,124,160 = 1,124,160/x
  3. Step 3: Cross multiply
    523,848x = 1,124,160 × 1,124,160
  4. Step 4: Simplify right side
    523,848x = 1,263,735,705,600
  5. Step 5: Solve for x
    x = 1,263,735,705,600/523,848
  6. Step 6: Final answer
    x = 2,412,409.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.