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Finding the Third Proportional to 845,960 and 1,831,312

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Solution

The third proportional to 845,960 and 1,831,312 is: 3,964,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,960 : 1,831,312 = 1,831,312 : x
  2. Step 2: Convert to fraction form
    845,960/1,831,312 = 1,831,312/x
  3. Step 3: Cross multiply
    845,960x = 1,831,312 × 1,831,312
  4. Step 4: Simplify right side
    845,960x = 3,353,703,641,344
  5. Step 5: Solve for x
    x = 3,353,703,641,344/845,960
  6. Step 6: Final answer
    x = 3,964,376.14

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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.