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Finding the Third Proportional to 843,279.19 and 1,295,380.69

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Solution

The third proportional to 843,279.19 and 1,295,380.69 is: 1,989,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,279.19 : 1,295,380.69 = 1,295,380.69 : x
  2. Step 2: Convert to fraction form
    843,279.19/1,295,380.69 = 1,295,380.69/x
  3. Step 3: Cross multiply
    843,279.19x = 1,295,380.69 × 1,295,380.69
  4. Step 4: Simplify right side
    843,279.19x = 1,678,011,125,547.97
  5. Step 5: Solve for x
    x = 1,678,011,125,547.97/843,279.19
  6. Step 6: Final answer
    x = 1,989,864.27

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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.