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Finding the Third Proportional to 646,400,792 and 1,002,947,469

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Solution

The third proportional to 646,400,792 and 1,002,947,469 is: 1,556,160,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,400,792 : 1,002,947,469 = 1,002,947,469 : x
  2. Step 2: Convert to fraction form
    646,400,792/1,002,947,469 = 1,002,947,469/x
  3. Step 3: Cross multiply
    646,400,792x = 1,002,947,469 × 1,002,947,469
  4. Step 4: Simplify right side
    646,400,792x = 1,005,903,625,573,505,920
  5. Step 5: Solve for x
    x = 1,005,903,625,573,505,920/646,400,792
  6. Step 6: Final answer
    x = 1,556,160,880.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.