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Finding the Third Proportional to 411,493,788 and 626,887,716

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Solution

The third proportional to 411,493,788 and 626,887,716 is: 955,028,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,493,788 : 626,887,716 = 626,887,716 : x
  2. Step 2: Convert to fraction form
    411,493,788/626,887,716 = 626,887,716/x
  3. Step 3: Cross multiply
    411,493,788x = 626,887,716 × 626,887,716
  4. Step 4: Simplify right side
    411,493,788x = 392,988,208,471,696,640
  5. Step 5: Solve for x
    x = 392,988,208,471,696,640/411,493,788
  6. Step 6: Final answer
    x = 955,028,289.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.