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Finding the Third Proportional to 674,095.50 and 1,431,297

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Solution

The third proportional to 674,095.50 and 1,431,297 is: 3,039,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,095.50 : 1,431,297 = 1,431,297 : x
  2. Step 2: Convert to fraction form
    674,095.50/1,431,297 = 1,431,297/x
  3. Step 3: Cross multiply
    674,095.50x = 1,431,297 × 1,431,297
  4. Step 4: Simplify right side
    674,095.50x = 2,048,611,102,209
  5. Step 5: Solve for x
    x = 2,048,611,102,209/674,095.50
  6. Step 6: Final answer
    x = 3,039,051.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.