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Finding the Third Proportional to 674,498 and 1,445,148

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Solution

The third proportional to 674,498 and 1,445,148 is: 3,096,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,498 : 1,445,148 = 1,445,148 : x
  2. Step 2: Convert to fraction form
    674,498/1,445,148 = 1,445,148/x
  3. Step 3: Cross multiply
    674,498x = 1,445,148 × 1,445,148
  4. Step 4: Simplify right side
    674,498x = 2,088,452,741,904
  5. Step 5: Solve for x
    x = 2,088,452,741,904/674,498
  6. Step 6: Final answer
    x = 3,096,306.80

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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.