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Finding the Third Proportional to 415,424.63 and 901,748.88

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Solution

The third proportional to 415,424.63 and 901,748.88 is: 1,957,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,424.63 : 901,748.88 = 901,748.88 : x
  2. Step 2: Convert to fraction form
    415,424.63/901,748.88 = 901,748.88/x
  3. Step 3: Cross multiply
    415,424.63x = 901,748.88 × 901,748.88
  4. Step 4: Simplify right side
    415,424.63x = 813,151,033,563.77
  5. Step 5: Solve for x
    x = 813,151,033,563.77/415,424.63
  6. Step 6: Final answer
    x = 1,957,397.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.