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Finding the Third Proportional to 843,459.75 and 1,349,011.13

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Solution

The third proportional to 843,459.75 and 1,349,011.13 is: 2,157,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,459.75 : 1,349,011.13 = 1,349,011.13 : x
  2. Step 2: Convert to fraction form
    843,459.75/1,349,011.13 = 1,349,011.13/x
  3. Step 3: Cross multiply
    843,459.75x = 1,349,011.13 × 1,349,011.13
  4. Step 4: Simplify right side
    843,459.75x = 1,819,831,015,373.77
  5. Step 5: Solve for x
    x = 1,819,831,015,373.77/843,459.75
  6. Step 6: Final answer
    x = 2,157,578.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.