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Finding the Third Proportional to 705,190,272 and 1,523,692,416

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Solution

The third proportional to 705,190,272 and 1,523,692,416 is: 3,292,215,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,190,272 : 1,523,692,416 = 1,523,692,416 : x
  2. Step 2: Convert to fraction form
    705,190,272/1,523,692,416 = 1,523,692,416/x
  3. Step 3: Cross multiply
    705,190,272x = 1,523,692,416 × 1,523,692,416
  4. Step 4: Simplify right side
    705,190,272x = 2,321,638,578,575,917,056
  5. Step 5: Solve for x
    x = 2,321,638,578,575,917,056/705,190,272
  6. Step 6: Final answer
    x = 3,292,215,832.74

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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.