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Finding the Third Proportional to 2,157,840 and 4,652,232

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Solution

The third proportional to 2,157,840 and 4,652,232 is: 10,030,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,840 : 4,652,232 = 4,652,232 : x
  2. Step 2: Convert to fraction form
    2,157,840/4,652,232 = 4,652,232/x
  3. Step 3: Cross multiply
    2,157,840x = 4,652,232 × 4,652,232
  4. Step 4: Simplify right side
    2,157,840x = 21,643,262,581,824
  5. Step 5: Solve for x
    x = 21,643,262,581,824/2,157,840
  6. Step 6: Final answer
    x = 10,030,059.03

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Why These Related Problems?

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