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Finding the Third Proportional to 413,894,562 and 901,272,322

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Solution

The third proportional to 413,894,562 and 901,272,322 is: 1,962,557,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,894,562 : 901,272,322 = 901,272,322 : x
  2. Step 2: Convert to fraction form
    413,894,562/901,272,322 = 901,272,322/x
  3. Step 3: Cross multiply
    413,894,562x = 901,272,322 × 901,272,322
  4. Step 4: Simplify right side
    413,894,562x = 812,291,798,403,271,680
  5. Step 5: Solve for x
    x = 812,291,798,403,271,680/413,894,562
  6. Step 6: Final answer
    x = 1,962,557,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.