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Finding the Third Proportional to 2,559,564 and 5,434,056

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Solution

The third proportional to 2,559,564 and 5,434,056 is: 11,536,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,564 : 5,434,056 = 5,434,056 : x
  2. Step 2: Convert to fraction form
    2,559,564/5,434,056 = 5,434,056/x
  3. Step 3: Cross multiply
    2,559,564x = 5,434,056 × 5,434,056
  4. Step 4: Simplify right side
    2,559,564x = 29,528,964,611,136
  5. Step 5: Solve for x
    x = 29,528,964,611,136/2,559,564
  6. Step 6: Final answer
    x = 11,536,716.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.