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Finding the Third Proportional to 633,752 and 1,409,206

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Solution

The third proportional to 633,752 and 1,409,206 is: 3,133,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,752 : 1,409,206 = 1,409,206 : x
  2. Step 2: Convert to fraction form
    633,752/1,409,206 = 1,409,206/x
  3. Step 3: Cross multiply
    633,752x = 1,409,206 × 1,409,206
  4. Step 4: Simplify right side
    633,752x = 1,985,861,550,436
  5. Step 5: Solve for x
    x = 1,985,861,550,436/633,752
  6. Step 6: Final answer
    x = 3,133,499.46

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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.