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Finding the Third Proportional to 1,096,539.19 and 1,644,808.78

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Solution

The third proportional to 1,096,539.19 and 1,644,808.78 is: 2,467,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,539.19 : 1,644,808.78 = 1,644,808.78 : x
  2. Step 2: Convert to fraction form
    1,096,539.19/1,644,808.78 = 1,644,808.78/x
  3. Step 3: Cross multiply
    1,096,539.19x = 1,644,808.78 × 1,644,808.78
  4. Step 4: Simplify right side
    1,096,539.19x = 2,705,395,926,877.11
  5. Step 5: Solve for x
    x = 2,705,395,926,877.11/1,096,539.19
  6. Step 6: Final answer
    x = 2,467,213.17

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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.