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Finding the Third Proportional to 908,163 and 1,946,722.50

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Solution

The third proportional to 908,163 and 1,946,722.50 is: 4,172,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,163 : 1,946,722.50 = 1,946,722.50 : x
  2. Step 2: Convert to fraction form
    908,163/1,946,722.50 = 1,946,722.50/x
  3. Step 3: Cross multiply
    908,163x = 1,946,722.50 × 1,946,722.50
  4. Step 4: Simplify right side
    908,163x = 3,789,728,492,006.25
  5. Step 5: Solve for x
    x = 3,789,728,492,006.25/908,163
  6. Step 6: Final answer
    x = 4,172,960.68

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Why These Related Problems?

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