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Finding the Third Proportional to 449,597 and 962,968

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Solution

The third proportional to 449,597 and 962,968 is: 2,062,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,597 : 962,968 = 962,968 : x
  2. Step 2: Convert to fraction form
    449,597/962,968 = 962,968/x
  3. Step 3: Cross multiply
    449,597x = 962,968 × 962,968
  4. Step 4: Simplify right side
    449,597x = 927,307,369,024
  5. Step 5: Solve for x
    x = 927,307,369,024/449,597
  6. Step 6: Final answer
    x = 2,062,530.15

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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.