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Finding the Third Proportional to 677,060.17 and 1,051,744.34

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Solution

The third proportional to 677,060.17 and 1,051,744.34 is: 1,633,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,060.17 : 1,051,744.34 = 1,051,744.34 : x
  2. Step 2: Convert to fraction form
    677,060.17/1,051,744.34 = 1,051,744.34/x
  3. Step 3: Cross multiply
    677,060.17x = 1,051,744.34 × 1,051,744.34
  4. Step 4: Simplify right side
    677,060.17x = 1,106,166,160,501.79
  5. Step 5: Solve for x
    x = 1,106,166,160,501.79/677,060.17
  6. Step 6: Final answer
    x = 1,633,778.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.