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Finding the Third Proportional to 842,056 and 1,606,512

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Solution

The third proportional to 842,056 and 1,606,512 is: 3,064,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,056 : 1,606,512 = 1,606,512 : x
  2. Step 2: Convert to fraction form
    842,056/1,606,512 = 1,606,512/x
  3. Step 3: Cross multiply
    842,056x = 1,606,512 × 1,606,512
  4. Step 4: Simplify right side
    842,056x = 2,580,880,806,144
  5. Step 5: Solve for x
    x = 2,580,880,806,144/842,056
  6. Step 6: Final answer
    x = 3,064,975.26

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.