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Finding the Third Proportional to 762,381.70 and 1,118,109.23

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Solution

The third proportional to 762,381.70 and 1,118,109.23 is: 1,639,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,381.70 : 1,118,109.23 = 1,118,109.23 : x
  2. Step 2: Convert to fraction form
    762,381.70/1,118,109.23 = 1,118,109.23/x
  3. Step 3: Cross multiply
    762,381.70x = 1,118,109.23 × 1,118,109.23
  4. Step 4: Simplify right side
    762,381.70x = 1,250,168,259,994.65
  5. Step 5: Solve for x
    x = 1,250,168,259,994.65/762,381.70
  6. Step 6: Final answer
    x = 1,639,819.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.