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Finding the Third Proportional to 449,273 and 977,274

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Solution

The third proportional to 449,273 and 977,274 is: 2,125,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,273 : 977,274 = 977,274 : x
  2. Step 2: Convert to fraction form
    449,273/977,274 = 977,274/x
  3. Step 3: Cross multiply
    449,273x = 977,274 × 977,274
  4. Step 4: Simplify right side
    449,273x = 955,064,471,076
  5. Step 5: Solve for x
    x = 955,064,471,076/449,273
  6. Step 6: Final answer
    x = 2,125,799.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.