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Finding the Third Proportional to 456,090 and 971,232

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Solution

The third proportional to 456,090 and 971,232 is: 2,068,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,090 : 971,232 = 971,232 : x
  2. Step 2: Convert to fraction form
    456,090/971,232 = 971,232/x
  3. Step 3: Cross multiply
    456,090x = 971,232 × 971,232
  4. Step 4: Simplify right side
    456,090x = 943,291,597,824
  5. Step 5: Solve for x
    x = 943,291,597,824/456,090
  6. Step 6: Final answer
    x = 2,068,213.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.