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Finding the Third Proportional to 1,578,550.50 and 3,406,176

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Solution

The third proportional to 1,578,550.50 and 3,406,176 is: 7,349,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,550.50 : 3,406,176 = 3,406,176 : x
  2. Step 2: Convert to fraction form
    1,578,550.50/3,406,176 = 3,406,176/x
  3. Step 3: Cross multiply
    1,578,550.50x = 3,406,176 × 3,406,176
  4. Step 4: Simplify right side
    1,578,550.50x = 11,602,034,942,976
  5. Step 5: Solve for x
    x = 11,602,034,942,976/1,578,550.50
  6. Step 6: Final answer
    x = 7,349,802.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.