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Finding the Third Proportional to 386,185 and 841,025

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Solution

The third proportional to 386,185 and 841,025 is: 1,831,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,185 : 841,025 = 841,025 : x
  2. Step 2: Convert to fraction form
    386,185/841,025 = 841,025/x
  3. Step 3: Cross multiply
    386,185x = 841,025 × 841,025
  4. Step 4: Simplify right side
    386,185x = 707,323,050,625
  5. Step 5: Solve for x
    x = 707,323,050,625/386,185
  6. Step 6: Final answer
    x = 1,831,565.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.