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Finding the Third Proportional to 699,768 and 1,096,416

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Solution

The third proportional to 699,768 and 1,096,416 is: 1,717,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,768 : 1,096,416 = 1,096,416 : x
  2. Step 2: Convert to fraction form
    699,768/1,096,416 = 1,096,416/x
  3. Step 3: Cross multiply
    699,768x = 1,096,416 × 1,096,416
  4. Step 4: Simplify right side
    699,768x = 1,202,128,045,056
  5. Step 5: Solve for x
    x = 1,202,128,045,056/699,768
  6. Step 6: Final answer
    x = 1,717,895.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.