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Finding the Third Proportional to 562,574 and 1,213,105

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Solution

The third proportional to 562,574 and 1,213,105 is: 2,615,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,574 : 1,213,105 = 1,213,105 : x
  2. Step 2: Convert to fraction form
    562,574/1,213,105 = 1,213,105/x
  3. Step 3: Cross multiply
    562,574x = 1,213,105 × 1,213,105
  4. Step 4: Simplify right side
    562,574x = 1,471,623,741,025
  5. Step 5: Solve for x
    x = 1,471,623,741,025/562,574
  6. Step 6: Final answer
    x = 2,615,875.85

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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.