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Finding the Third Proportional to 544,466 and 841,161

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Solution

The third proportional to 544,466 and 841,161 is: 1,299,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,466 : 841,161 = 841,161 : x
  2. Step 2: Convert to fraction form
    544,466/841,161 = 841,161/x
  3. Step 3: Cross multiply
    544,466x = 841,161 × 841,161
  4. Step 4: Simplify right side
    544,466x = 707,551,827,921
  5. Step 5: Solve for x
    x = 707,551,827,921/544,466
  6. Step 6: Final answer
    x = 1,299,533.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.