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Finding the Third Proportional to 961,508 and 2,051,732

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Solution

The third proportional to 961,508 and 2,051,732 is: 4,378,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,508 : 2,051,732 = 2,051,732 : x
  2. Step 2: Convert to fraction form
    961,508/2,051,732 = 2,051,732/x
  3. Step 3: Cross multiply
    961,508x = 2,051,732 × 2,051,732
  4. Step 4: Simplify right side
    961,508x = 4,209,604,199,824
  5. Step 5: Solve for x
    x = 4,209,604,199,824/961,508
  6. Step 6: Final answer
    x = 4,378,127.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.