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Finding the Third Proportional to 697,419.49 and 1,077,205.71

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Solution

The third proportional to 697,419.49 and 1,077,205.71 is: 1,663,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,419.49 : 1,077,205.71 = 1,077,205.71 : x
  2. Step 2: Convert to fraction form
    697,419.49/1,077,205.71 = 1,077,205.71/x
  3. Step 3: Cross multiply
    697,419.49x = 1,077,205.71 × 1,077,205.71
  4. Step 4: Simplify right side
    697,419.49x = 1,160,372,143,676.36
  5. Step 5: Solve for x
    x = 1,160,372,143,676.36/697,419.49
  6. Step 6: Final answer
    x = 1,663,808.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.