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Finding the Third Proportional to 569,870 and 1,216,012

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Solution

The third proportional to 569,870 and 1,216,012 is: 2,594,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,870 : 1,216,012 = 1,216,012 : x
  2. Step 2: Convert to fraction form
    569,870/1,216,012 = 1,216,012/x
  3. Step 3: Cross multiply
    569,870x = 1,216,012 × 1,216,012
  4. Step 4: Simplify right side
    569,870x = 1,478,685,184,144
  5. Step 5: Solve for x
    x = 1,478,685,184,144/569,870
  6. Step 6: Final answer
    x = 2,594,776.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.