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Finding the Third Proportional to 935,144 and 1,337,160

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Solution

The third proportional to 935,144 and 1,337,160 is: 1,912,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,144 : 1,337,160 = 1,337,160 : x
  2. Step 2: Convert to fraction form
    935,144/1,337,160 = 1,337,160/x
  3. Step 3: Cross multiply
    935,144x = 1,337,160 × 1,337,160
  4. Step 4: Simplify right side
    935,144x = 1,787,996,865,600
  5. Step 5: Solve for x
    x = 1,787,996,865,600/935,144
  6. Step 6: Final answer
    x = 1,912,001.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.