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Finding the Third Proportional to 633,719 and 1,409,127

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Solution

The third proportional to 633,719 and 1,409,127 is: 3,133,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,719 : 1,409,127 = 1,409,127 : x
  2. Step 2: Convert to fraction form
    633,719/1,409,127 = 1,409,127/x
  3. Step 3: Cross multiply
    633,719x = 1,409,127 × 1,409,127
  4. Step 4: Simplify right side
    633,719x = 1,985,638,902,129
  5. Step 5: Solve for x
    x = 1,985,638,902,129/633,719
  6. Step 6: Final answer
    x = 3,133,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.