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Finding the Third Proportional to 442,140 and 947,370

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Solution

The third proportional to 442,140 and 947,370 is: 2,029,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,140 : 947,370 = 947,370 : x
  2. Step 2: Convert to fraction form
    442,140/947,370 = 947,370/x
  3. Step 3: Cross multiply
    442,140x = 947,370 × 947,370
  4. Step 4: Simplify right side
    442,140x = 897,509,916,900
  5. Step 5: Solve for x
    x = 897,509,916,900/442,140
  6. Step 6: Final answer
    x = 2,029,922.46

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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.