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Finding the Third Proportional to 1,009,536 and 2,153,832

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Solution

The third proportional to 1,009,536 and 2,153,832 is: 4,595,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,536 : 2,153,832 = 2,153,832 : x
  2. Step 2: Convert to fraction form
    1,009,536/2,153,832 = 2,153,832/x
  3. Step 3: Cross multiply
    1,009,536x = 2,153,832 × 2,153,832
  4. Step 4: Simplify right side
    1,009,536x = 4,638,992,284,224
  5. Step 5: Solve for x
    x = 4,638,992,284,224/1,009,536
  6. Step 6: Final answer
    x = 4,595,172.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.