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Finding the Third Proportional to 3,409,506 and 5,176,467

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Solution

The third proportional to 3,409,506 and 5,176,467 is: 7,859,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,506 : 5,176,467 = 5,176,467 : x
  2. Step 2: Convert to fraction form
    3,409,506/5,176,467 = 5,176,467/x
  3. Step 3: Cross multiply
    3,409,506x = 5,176,467 × 5,176,467
  4. Step 4: Simplify right side
    3,409,506x = 26,795,810,602,089
  5. Step 5: Solve for x
    x = 26,795,810,602,089/3,409,506
  6. Step 6: Final answer
    x = 7,859,147.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.