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Finding the Third Proportional to 486,100,490 and 694,626,347

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Solution

The third proportional to 486,100,490 and 694,626,347 is: 992,604,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,100,490 : 694,626,347 = 694,626,347 : x
  2. Step 2: Convert to fraction form
    486,100,490/694,626,347 = 694,626,347/x
  3. Step 3: Cross multiply
    486,100,490x = 694,626,347 × 694,626,347
  4. Step 4: Simplify right side
    486,100,490x = 482,505,761,946,564,416
  5. Step 5: Solve for x
    x = 482,505,761,946,564,416/486,100,490
  6. Step 6: Final answer
    x = 992,604,969.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.