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Finding the Third Proportional to 1,054,435.85 and 1,596,441.66

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Solution

The third proportional to 1,054,435.85 and 1,596,441.66 is: 2,417,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,435.85 : 1,596,441.66 = 1,596,441.66 : x
  2. Step 2: Convert to fraction form
    1,054,435.85/1,596,441.66 = 1,596,441.66/x
  3. Step 3: Cross multiply
    1,054,435.85x = 1,596,441.66 × 1,596,441.66
  4. Step 4: Simplify right side
    1,054,435.85x = 2,548,625,961,810.24
  5. Step 5: Solve for x
    x = 2,548,625,961,810.24/1,054,435.85
  6. Step 6: Final answer
    x = 2,417,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.