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Finding the Third Proportional to 1,503,957.38 and 3,131,834.63

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Solution

The third proportional to 1,503,957.38 and 3,131,834.63 is: 6,521,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,957.38 : 3,131,834.63 = 3,131,834.63 : x
  2. Step 2: Convert to fraction form
    1,503,957.38/3,131,834.63 = 3,131,834.63/x
  3. Step 3: Cross multiply
    1,503,957.38x = 3,131,834.63 × 3,131,834.63
  4. Step 4: Simplify right side
    1,503,957.38x = 9,808,388,118,348.89
  5. Step 5: Solve for x
    x = 9,808,388,118,348.89/1,503,957.38
  6. Step 6: Final answer
    x = 6,521,719.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.