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Finding the Third Proportional to 679,434.75 and 1,020,853.13

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Solution

The third proportional to 679,434.75 and 1,020,853.13 is: 1,533,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,434.75 : 1,020,853.13 = 1,020,853.13 : x
  2. Step 2: Convert to fraction form
    679,434.75/1,020,853.13 = 1,020,853.13/x
  3. Step 3: Cross multiply
    679,434.75x = 1,020,853.13 × 1,020,853.13
  4. Step 4: Simplify right side
    679,434.75x = 1,042,141,102,822.27
  5. Step 5: Solve for x
    x = 1,042,141,102,822.27/679,434.75
  6. Step 6: Final answer
    x = 1,533,835.45

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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.