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Finding the Third Proportional to 666,969 and 998,623.13

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Solution

The third proportional to 666,969 and 998,623.13 is: 1,495,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,969 : 998,623.13 = 998,623.13 : x
  2. Step 2: Convert to fraction form
    666,969/998,623.13 = 998,623.13/x
  3. Step 3: Cross multiply
    666,969x = 998,623.13 × 998,623.13
  4. Step 4: Simplify right side
    666,969x = 997,248,145,784.77
  5. Step 5: Solve for x
    x = 997,248,145,784.77/666,969
  6. Step 6: Final answer
    x = 1,495,194.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.