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Finding the Third Proportional to 1,537,220 and 2,310,771

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Solution

The third proportional to 1,537,220 and 2,310,771 is: 3,473,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,220 : 2,310,771 = 2,310,771 : x
  2. Step 2: Convert to fraction form
    1,537,220/2,310,771 = 2,310,771/x
  3. Step 3: Cross multiply
    1,537,220x = 2,310,771 × 2,310,771
  4. Step 4: Simplify right side
    1,537,220x = 5,339,662,614,441
  5. Step 5: Solve for x
    x = 5,339,662,614,441/1,537,220
  6. Step 6: Final answer
    x = 3,473,583.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.