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Finding the Third Proportional to 1,441,461.19 and 2,027,596.78

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Solution

The third proportional to 1,441,461.19 and 2,027,596.78 is: 2,852,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,461.19 : 2,027,596.78 = 2,027,596.78 : x
  2. Step 2: Convert to fraction form
    1,441,461.19/2,027,596.78 = 2,027,596.78/x
  3. Step 3: Cross multiply
    1,441,461.19x = 2,027,596.78 × 2,027,596.78
  4. Step 4: Simplify right side
    1,441,461.19x = 4,111,148,707,335.36
  5. Step 5: Solve for x
    x = 4,111,148,707,335.36/1,441,461.19
  6. Step 6: Final answer
    x = 2,852,070.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.