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Finding the Third Proportional to 897,263 and 1,379,157

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Solution

The third proportional to 897,263 and 1,379,157 is: 2,119,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,263 : 1,379,157 = 1,379,157 : x
  2. Step 2: Convert to fraction form
    897,263/1,379,157 = 1,379,157/x
  3. Step 3: Cross multiply
    897,263x = 1,379,157 × 1,379,157
  4. Step 4: Simplify right side
    897,263x = 1,902,074,030,649
  5. Step 5: Solve for x
    x = 1,902,074,030,649/897,263
  6. Step 6: Final answer
    x = 2,119,862.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.