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Finding the Third Proportional to 947,136 and 2,029,056

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Solution

The third proportional to 947,136 and 2,029,056 is: 4,346,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,136 : 2,029,056 = 2,029,056 : x
  2. Step 2: Convert to fraction form
    947,136/2,029,056 = 2,029,056/x
  3. Step 3: Cross multiply
    947,136x = 2,029,056 × 2,029,056
  4. Step 4: Simplify right side
    947,136x = 4,117,068,251,136
  5. Step 5: Solve for x
    x = 4,117,068,251,136/947,136
  6. Step 6: Final answer
    x = 4,346,860.69

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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.