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Finding the Third Proportional to 766,104 and 1,234,397.63

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Solution

The third proportional to 766,104 and 1,234,397.63 is: 1,988,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,104 : 1,234,397.63 = 1,234,397.63 : x
  2. Step 2: Convert to fraction form
    766,104/1,234,397.63 = 1,234,397.63/x
  3. Step 3: Cross multiply
    766,104x = 1,234,397.63 × 1,234,397.63
  4. Step 4: Simplify right side
    766,104x = 1,523,737,496,605.64
  5. Step 5: Solve for x
    x = 1,523,737,496,605.64/766,104
  6. Step 6: Final answer
    x = 1,988,943.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.