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Finding the Third Proportional to 611,025.89 and 924,403.22

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Solution

The third proportional to 611,025.89 and 924,403.22 is: 1,398,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,025.89 : 924,403.22 = 924,403.22 : x
  2. Step 2: Convert to fraction form
    611,025.89/924,403.22 = 924,403.22/x
  3. Step 3: Cross multiply
    611,025.89x = 924,403.22 × 924,403.22
  4. Step 4: Simplify right side
    611,025.89x = 854,521,310,835.36
  5. Step 5: Solve for x
    x = 854,521,310,835.36/611,025.89
  6. Step 6: Final answer
    x = 1,398,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.