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Finding the Third Proportional to 1,157,467 and 2,539,039

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Solution

The third proportional to 1,157,467 and 2,539,039 is: 5,569,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,467 : 2,539,039 = 2,539,039 : x
  2. Step 2: Convert to fraction form
    1,157,467/2,539,039 = 2,539,039/x
  3. Step 3: Cross multiply
    1,157,467x = 2,539,039 × 2,539,039
  4. Step 4: Simplify right side
    1,157,467x = 6,446,719,043,521
  5. Step 5: Solve for x
    x = 6,446,719,043,521/1,157,467
  6. Step 6: Final answer
    x = 5,569,678.48

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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.