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Finding the Third Proportional to 544,464 and 841,158

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Solution

The third proportional to 544,464 and 841,158 is: 1,299,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,464 : 841,158 = 841,158 : x
  2. Step 2: Convert to fraction form
    544,464/841,158 = 841,158/x
  3. Step 3: Cross multiply
    544,464x = 841,158 × 841,158
  4. Step 4: Simplify right side
    544,464x = 707,546,780,964
  5. Step 5: Solve for x
    x = 707,546,780,964/544,464
  6. Step 6: Final answer
    x = 1,299,529.04

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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.