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Finding the Third Proportional to 620,136 and 948,076

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Solution

The third proportional to 620,136 and 948,076 is: 1,449,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,136 : 948,076 = 948,076 : x
  2. Step 2: Convert to fraction form
    620,136/948,076 = 948,076/x
  3. Step 3: Cross multiply
    620,136x = 948,076 × 948,076
  4. Step 4: Simplify right side
    620,136x = 898,848,101,776
  5. Step 5: Solve for x
    x = 898,848,101,776/620,136
  6. Step 6: Final answer
    x = 1,449,437.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.