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Finding the Third Proportional to 1,232,112 and 1,805,607

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Solution

The third proportional to 1,232,112 and 1,805,607 is: 2,646,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,112 : 1,805,607 = 1,805,607 : x
  2. Step 2: Convert to fraction form
    1,232,112/1,805,607 = 1,805,607/x
  3. Step 3: Cross multiply
    1,232,112x = 1,805,607 × 1,805,607
  4. Step 4: Simplify right side
    1,232,112x = 3,260,216,638,449
  5. Step 5: Solve for x
    x = 3,260,216,638,449/1,232,112
  6. Step 6: Final answer
    x = 2,646,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.