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Finding the Third Proportional to 845,588,314 and 1,293,655,440

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Solution

The third proportional to 845,588,314 and 1,293,655,440 is: 1,979,147,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,588,314 : 1,293,655,440 = 1,293,655,440 : x
  2. Step 2: Convert to fraction form
    845,588,314/1,293,655,440 = 1,293,655,440/x
  3. Step 3: Cross multiply
    845,588,314x = 1,293,655,440 × 1,293,655,440
  4. Step 4: Simplify right side
    845,588,314x = 1,673,544,397,441,593,600
  5. Step 5: Solve for x
    x = 1,673,544,397,441,593,600/845,588,314
  6. Step 6: Final answer
    x = 1,979,147,972.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.