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Finding the Third Proportional to 442,070 and 946,188

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Solution

The third proportional to 442,070 and 946,188 is: 2,025,180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,070 : 946,188 = 946,188 : x
  2. Step 2: Convert to fraction form
    442,070/946,188 = 946,188/x
  3. Step 3: Cross multiply
    442,070x = 946,188 × 946,188
  4. Step 4: Simplify right side
    442,070x = 895,271,731,344
  5. Step 5: Solve for x
    x = 895,271,731,344/442,070
  6. Step 6: Final answer
    x = 2,025,180.92

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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.