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Finding the Third Proportional to 283,748,544 and 611,254,580

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Solution

The third proportional to 283,748,544 and 611,254,580 is: 1,316,772,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,748,544 : 611,254,580 = 611,254,580 : x
  2. Step 2: Convert to fraction form
    283,748,544/611,254,580 = 611,254,580/x
  3. Step 3: Cross multiply
    283,748,544x = 611,254,580 × 611,254,580
  4. Step 4: Simplify right side
    283,748,544x = 373,632,161,570,976,384
  5. Step 5: Solve for x
    x = 373,632,161,570,976,384/283,748,544
  6. Step 6: Final answer
    x = 1,316,772,083.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.