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Finding the Third Proportional to 672,713.14 and 1,038,814.05

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Solution

The third proportional to 672,713.14 and 1,038,814.05 is: 1,604,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,713.14 : 1,038,814.05 = 1,038,814.05 : x
  2. Step 2: Convert to fraction form
    672,713.14/1,038,814.05 = 1,038,814.05/x
  3. Step 3: Cross multiply
    672,713.14x = 1,038,814.05 × 1,038,814.05
  4. Step 4: Simplify right side
    672,713.14x = 1,079,134,639,455.25
  5. Step 5: Solve for x
    x = 1,079,134,639,455.25/672,713.14
  6. Step 6: Final answer
    x = 1,604,152.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.