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Finding the Third Proportional to 740,736 and 1,596,816

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Solution

The third proportional to 740,736 and 1,596,816 is: 3,442,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,736 : 1,596,816 = 1,596,816 : x
  2. Step 2: Convert to fraction form
    740,736/1,596,816 = 1,596,816/x
  3. Step 3: Cross multiply
    740,736x = 1,596,816 × 1,596,816
  4. Step 4: Simplify right side
    740,736x = 2,549,821,337,856
  5. Step 5: Solve for x
    x = 2,549,821,337,856/740,736
  6. Step 6: Final answer
    x = 3,442,280.84

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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.