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Finding the Third Proportional to 1,159,700 and 2,352,008

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Solution

The third proportional to 1,159,700 and 2,352,008 is: 4,770,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,700 : 2,352,008 = 2,352,008 : x
  2. Step 2: Convert to fraction form
    1,159,700/2,352,008 = 2,352,008/x
  3. Step 3: Cross multiply
    1,159,700x = 2,352,008 × 2,352,008
  4. Step 4: Simplify right side
    1,159,700x = 5,531,941,632,064
  5. Step 5: Solve for x
    x = 5,531,941,632,064/1,159,700
  6. Step 6: Final answer
    x = 4,770,148.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.