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Finding the Third Proportional to 562,643.63 and 1,232,010

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Solution

The third proportional to 562,643.63 and 1,232,010 is: 2,697,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,643.63 : 1,232,010 = 1,232,010 : x
  2. Step 2: Convert to fraction form
    562,643.63/1,232,010 = 1,232,010/x
  3. Step 3: Cross multiply
    562,643.63x = 1,232,010 × 1,232,010
  4. Step 4: Simplify right side
    562,643.63x = 1,517,848,640,100
  5. Step 5: Solve for x
    x = 1,517,848,640,100/562,643.63
  6. Step 6: Final answer
    x = 2,697,708.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.