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Finding the Third Proportional to 845,710 and 1,311,534

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Solution

The third proportional to 845,710 and 1,311,534 is: 2,033,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,710 : 1,311,534 = 1,311,534 : x
  2. Step 2: Convert to fraction form
    845,710/1,311,534 = 1,311,534/x
  3. Step 3: Cross multiply
    845,710x = 1,311,534 × 1,311,534
  4. Step 4: Simplify right side
    845,710x = 1,720,121,433,156
  5. Step 5: Solve for x
    x = 1,720,121,433,156/845,710
  6. Step 6: Final answer
    x = 2,033,937.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.