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Finding the Third Proportional to 716,094 and 1,560,006

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Solution

The third proportional to 716,094 and 1,560,006 is: 3,398,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,094 : 1,560,006 = 1,560,006 : x
  2. Step 2: Convert to fraction form
    716,094/1,560,006 = 1,560,006/x
  3. Step 3: Cross multiply
    716,094x = 1,560,006 × 1,560,006
  4. Step 4: Simplify right side
    716,094x = 2,433,618,720,036
  5. Step 5: Solve for x
    x = 2,433,618,720,036/716,094
  6. Step 6: Final answer
    x = 3,398,462.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.