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Finding the Third Proportional to 716,956 and 1,100,498

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Solution

The third proportional to 716,956 and 1,100,498 is: 1,689,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,956 : 1,100,498 = 1,100,498 : x
  2. Step 2: Convert to fraction form
    716,956/1,100,498 = 1,100,498/x
  3. Step 3: Cross multiply
    716,956x = 1,100,498 × 1,100,498
  4. Step 4: Simplify right side
    716,956x = 1,211,095,848,004
  5. Step 5: Solve for x
    x = 1,211,095,848,004/716,956
  6. Step 6: Final answer
    x = 1,689,219.21

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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.