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Finding the Third Proportional to 384,940,536 and 829,974,000

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Solution

The third proportional to 384,940,536 and 829,974,000 is: 1,789,514,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,940,536 : 829,974,000 = 829,974,000 : x
  2. Step 2: Convert to fraction form
    384,940,536/829,974,000 = 829,974,000/x
  3. Step 3: Cross multiply
    384,940,536x = 829,974,000 × 829,974,000
  4. Step 4: Simplify right side
    384,940,536x = 688,856,840,676,000,000
  5. Step 5: Solve for x
    x = 688,856,840,676,000,000/384,940,536
  6. Step 6: Final answer
    x = 1,789,514,941.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.