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Finding the Third Proportional to 1,030,589.58 and 1,355,222.39

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Solution

The third proportional to 1,030,589.58 and 1,355,222.39 is: 1,782,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,589.58 : 1,355,222.39 = 1,355,222.39 : x
  2. Step 2: Convert to fraction form
    1,030,589.58/1,355,222.39 = 1,355,222.39/x
  3. Step 3: Cross multiply
    1,030,589.58x = 1,355,222.39 × 1,355,222.39
  4. Step 4: Simplify right side
    1,030,589.58x = 1,836,627,728,051.34
  5. Step 5: Solve for x
    x = 1,836,627,728,051.34/1,030,589.58
  6. Step 6: Final answer
    x = 1,782,113.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.