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Finding the Third Proportional to 562,584 and 1,213,128

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Solution

The third proportional to 562,584 and 1,213,128 is: 2,615,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,584 : 1,213,128 = 1,213,128 : x
  2. Step 2: Convert to fraction form
    562,584/1,213,128 = 1,213,128/x
  3. Step 3: Cross multiply
    562,584x = 1,213,128 × 1,213,128
  4. Step 4: Simplify right side
    562,584x = 1,471,679,544,384
  5. Step 5: Solve for x
    x = 1,471,679,544,384/562,584
  6. Step 6: Final answer
    x = 2,615,928.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.