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Finding the Third Proportional to 449,076 and 968,136

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Solution

The third proportional to 449,076 and 968,136 is: 2,087,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,076 : 968,136 = 968,136 : x
  2. Step 2: Convert to fraction form
    449,076/968,136 = 968,136/x
  3. Step 3: Cross multiply
    449,076x = 968,136 × 968,136
  4. Step 4: Simplify right side
    449,076x = 937,287,314,496
  5. Step 5: Solve for x
    x = 937,287,314,496/449,076
  6. Step 6: Final answer
    x = 2,087,146.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.