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Finding the Third Proportional to 662,409 and 1,429,734

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Solution

The third proportional to 662,409 and 1,429,734 is: 3,085,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,409 : 1,429,734 = 1,429,734 : x
  2. Step 2: Convert to fraction form
    662,409/1,429,734 = 1,429,734/x
  3. Step 3: Cross multiply
    662,409x = 1,429,734 × 1,429,734
  4. Step 4: Simplify right side
    662,409x = 2,044,139,310,756
  5. Step 5: Solve for x
    x = 2,044,139,310,756/662,409
  6. Step 6: Final answer
    x = 3,085,917.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.