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Finding the Third Proportional to 449,274 and 977,263

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Solution

The third proportional to 449,274 and 977,263 is: 2,125,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,274 : 977,263 = 977,263 : x
  2. Step 2: Convert to fraction form
    449,274/977,263 = 977,263/x
  3. Step 3: Cross multiply
    449,274x = 977,263 × 977,263
  4. Step 4: Simplify right side
    449,274x = 955,042,971,169
  5. Step 5: Solve for x
    x = 955,042,971,169/449,274
  6. Step 6: Final answer
    x = 2,125,747.25

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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.