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Finding the Third Proportional to 1,110,244.22 and 1,447,008.05

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Solution

The third proportional to 1,110,244.22 and 1,447,008.05 is: 1,885,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,244.22 : 1,447,008.05 = 1,447,008.05 : x
  2. Step 2: Convert to fraction form
    1,110,244.22/1,447,008.05 = 1,447,008.05/x
  3. Step 3: Cross multiply
    1,110,244.22x = 1,447,008.05 × 1,447,008.05
  4. Step 4: Simplify right side
    1,110,244.22x = 2,093,832,287,721.00
  5. Step 5: Solve for x
    x = 2,093,832,287,721.00/1,110,244.22
  6. Step 6: Final answer
    x = 1,885,920.46

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.