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Finding the Third Proportional to 910,622.25 and 1,336,408.88

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Solution

The third proportional to 910,622.25 and 1,336,408.88 is: 1,961,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,622.25 : 1,336,408.88 = 1,336,408.88 : x
  2. Step 2: Convert to fraction form
    910,622.25/1,336,408.88 = 1,336,408.88/x
  3. Step 3: Cross multiply
    910,622.25x = 1,336,408.88 × 1,336,408.88
  4. Step 4: Simplify right side
    910,622.25x = 1,785,988,681,178.77
  5. Step 5: Solve for x
    x = 1,785,988,681,178.77/910,622.25
  6. Step 6: Final answer
    x = 1,961,283.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.