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Finding the Third Proportional to 673,306.80 and 1,071,881.86

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Solution

The third proportional to 673,306.80 and 1,071,881.86 is: 1,706,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,306.80 : 1,071,881.86 = 1,071,881.86 : x
  2. Step 2: Convert to fraction form
    673,306.80/1,071,881.86 = 1,071,881.86/x
  3. Step 3: Cross multiply
    673,306.80x = 1,071,881.86 × 1,071,881.86
  4. Step 4: Simplify right side
    673,306.80x = 1,148,930,720,457.21
  5. Step 5: Solve for x
    x = 1,148,930,720,457.21/673,306.80
  6. Step 6: Final answer
    x = 1,706,399.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.