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Finding the Third Proportional to 655,929.14 and 1,011,914.65

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Solution

The third proportional to 655,929.14 and 1,011,914.65 is: 1,561,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,929.14 : 1,011,914.65 = 1,011,914.65 : x
  2. Step 2: Convert to fraction form
    655,929.14/1,011,914.65 = 1,011,914.65/x
  3. Step 3: Cross multiply
    655,929.14x = 1,011,914.65 × 1,011,914.65
  4. Step 4: Simplify right side
    655,929.14x = 1,023,971,255,722.39
  5. Step 5: Solve for x
    x = 1,023,971,255,722.39/655,929.14
  6. Step 6: Final answer
    x = 1,561,100.42

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