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Finding the Third Proportional to 437,346 and 947,232

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Solution

The third proportional to 437,346 and 947,232 is: 2,051,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,346 : 947,232 = 947,232 : x
  2. Step 2: Convert to fraction form
    437,346/947,232 = 947,232/x
  3. Step 3: Cross multiply
    437,346x = 947,232 × 947,232
  4. Step 4: Simplify right side
    437,346x = 897,248,461,824
  5. Step 5: Solve for x
    x = 897,248,461,824/437,346
  6. Step 6: Final answer
    x = 2,051,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.