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Finding the Third Proportional to 562,510 and 1,214,816

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Solution

The third proportional to 562,510 and 1,214,816 is: 2,623,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,510 : 1,214,816 = 1,214,816 : x
  2. Step 2: Convert to fraction form
    562,510/1,214,816 = 1,214,816/x
  3. Step 3: Cross multiply
    562,510x = 1,214,816 × 1,214,816
  4. Step 4: Simplify right side
    562,510x = 1,475,777,913,856
  5. Step 5: Solve for x
    x = 1,475,777,913,856/562,510
  6. Step 6: Final answer
    x = 2,623,558.54

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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.