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Finding the Third Proportional to 956,045 and 1,467,494

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Solution

The third proportional to 956,045 and 1,467,494 is: 2,252,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,045 : 1,467,494 = 1,467,494 : x
  2. Step 2: Convert to fraction form
    956,045/1,467,494 = 1,467,494/x
  3. Step 3: Cross multiply
    956,045x = 1,467,494 × 1,467,494
  4. Step 4: Simplify right side
    956,045x = 2,153,538,640,036
  5. Step 5: Solve for x
    x = 2,153,538,640,036/956,045
  6. Step 6: Final answer
    x = 2,252,549.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.