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Finding the Third Proportional to 929,207 and 1,363,105

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Solution

The third proportional to 929,207 and 1,363,105 is: 1,999,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,207 : 1,363,105 = 1,363,105 : x
  2. Step 2: Convert to fraction form
    929,207/1,363,105 = 1,363,105/x
  3. Step 3: Cross multiply
    929,207x = 1,363,105 × 1,363,105
  4. Step 4: Simplify right side
    929,207x = 1,858,055,241,025
  5. Step 5: Solve for x
    x = 1,858,055,241,025/929,207
  6. Step 6: Final answer
    x = 1,999,613.91

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