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Finding the Third Proportional to 1,030,254.19 and 2,237,758.31

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Solution

The third proportional to 1,030,254.19 and 2,237,758.31 is: 4,860,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,254.19 : 2,237,758.31 = 2,237,758.31 : x
  2. Step 2: Convert to fraction form
    1,030,254.19/2,237,758.31 = 2,237,758.31/x
  3. Step 3: Cross multiply
    1,030,254.19x = 2,237,758.31 × 2,237,758.31
  4. Step 4: Simplify right side
    1,030,254.19x = 5,007,562,265,162.85
  5. Step 5: Solve for x
    x = 5,007,562,265,162.85/1,030,254.19
  6. Step 6: Final answer
    x = 4,860,511.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.