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Finding the Third Proportional to 625,053 and 946,293

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Solution

The third proportional to 625,053 and 946,293 is: 1,432,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,053 : 946,293 = 946,293 : x
  2. Step 2: Convert to fraction form
    625,053/946,293 = 946,293/x
  3. Step 3: Cross multiply
    625,053x = 946,293 × 946,293
  4. Step 4: Simplify right side
    625,053x = 895,470,441,849
  5. Step 5: Solve for x
    x = 895,470,441,849/625,053
  6. Step 6: Final answer
    x = 1,432,631.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.