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Finding the Third Proportional to 562,864 and 1,148,652

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Solution

The third proportional to 562,864 and 1,148,652 is: 2,344,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,864 : 1,148,652 = 1,148,652 : x
  2. Step 2: Convert to fraction form
    562,864/1,148,652 = 1,148,652/x
  3. Step 3: Cross multiply
    562,864x = 1,148,652 × 1,148,652
  4. Step 4: Simplify right side
    562,864x = 1,319,401,417,104
  5. Step 5: Solve for x
    x = 1,319,401,417,104/562,864
  6. Step 6: Final answer
    x = 2,344,085.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.