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Finding the Third Proportional to 449,611 and 962,987

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Solution

The third proportional to 449,611 and 962,987 is: 2,062,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,611 : 962,987 = 962,987 : x
  2. Step 2: Convert to fraction form
    449,611/962,987 = 962,987/x
  3. Step 3: Cross multiply
    449,611x = 962,987 × 962,987
  4. Step 4: Simplify right side
    449,611x = 927,343,962,169
  5. Step 5: Solve for x
    x = 927,343,962,169/449,611
  6. Step 6: Final answer
    x = 2,062,547.32

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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.