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Finding the Third Proportional to 740,996 and 1,148,102

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Solution

The third proportional to 740,996 and 1,148,102 is: 1,778,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,996 : 1,148,102 = 1,148,102 : x
  2. Step 2: Convert to fraction form
    740,996/1,148,102 = 1,148,102/x
  3. Step 3: Cross multiply
    740,996x = 1,148,102 × 1,148,102
  4. Step 4: Simplify right side
    740,996x = 1,318,138,202,404
  5. Step 5: Solve for x
    x = 1,318,138,202,404/740,996
  6. Step 6: Final answer
    x = 1,778,873.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.