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Finding the Third Proportional to 845,401,406 and 1,358,978,339

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Solution

The third proportional to 845,401,406 and 1,358,978,339 is: 2,184,550,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,401,406 : 1,358,978,339 = 1,358,978,339 : x
  2. Step 2: Convert to fraction form
    845,401,406/1,358,978,339 = 1,358,978,339/x
  3. Step 3: Cross multiply
    845,401,406x = 1,358,978,339 × 1,358,978,339
  4. Step 4: Simplify right side
    845,401,406x = 1,846,822,125,871,198,976
  5. Step 5: Solve for x
    x = 1,846,822,125,871,198,976/845,401,406
  6. Step 6: Final answer
    x = 2,184,550,572.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.