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Finding the Third Proportional to 594,468 and 1,281,816

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Solution

The third proportional to 594,468 and 1,281,816 is: 2,763,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,468 : 1,281,816 = 1,281,816 : x
  2. Step 2: Convert to fraction form
    594,468/1,281,816 = 1,281,816/x
  3. Step 3: Cross multiply
    594,468x = 1,281,816 × 1,281,816
  4. Step 4: Simplify right side
    594,468x = 1,643,052,257,856
  5. Step 5: Solve for x
    x = 1,643,052,257,856/594,468
  6. Step 6: Final answer
    x = 2,763,903.62

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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.