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Finding the Third Proportional to 283,620,548 and 616,934,344

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Solution

The third proportional to 283,620,548 and 616,934,344 is: 1,341,961,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,620,548 : 616,934,344 = 616,934,344 : x
  2. Step 2: Convert to fraction form
    283,620,548/616,934,344 = 616,934,344/x
  3. Step 3: Cross multiply
    283,620,548x = 616,934,344 × 616,934,344
  4. Step 4: Simplify right side
    283,620,548x = 380,607,984,806,710,336
  5. Step 5: Solve for x
    x = 380,607,984,806,710,336/283,620,548
  6. Step 6: Final answer
    x = 1,341,961,954.06

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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.