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Finding the Third Proportional to 674,502 and 1,445,156

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Solution

The third proportional to 674,502 and 1,445,156 is: 3,096,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,502 : 1,445,156 = 1,445,156 : x
  2. Step 2: Convert to fraction form
    674,502/1,445,156 = 1,445,156/x
  3. Step 3: Cross multiply
    674,502x = 1,445,156 × 1,445,156
  4. Step 4: Simplify right side
    674,502x = 2,088,475,864,336
  5. Step 5: Solve for x
    x = 2,088,475,864,336/674,502
  6. Step 6: Final answer
    x = 3,096,322.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.