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Finding the Third Proportional to 647,160 and 979,796

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Solution

The third proportional to 647,160 and 979,796 is: 1,483,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,160 : 979,796 = 979,796 : x
  2. Step 2: Convert to fraction form
    647,160/979,796 = 979,796/x
  3. Step 3: Cross multiply
    647,160x = 979,796 × 979,796
  4. Step 4: Simplify right side
    647,160x = 960,000,201,616
  5. Step 5: Solve for x
    x = 960,000,201,616/647,160
  6. Step 6: Final answer
    x = 1,483,404.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.