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Finding the Third Proportional to 1,203,712 and 1,829,208

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Solution

The third proportional to 1,203,712 and 1,829,208 is: 2,779,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,712 : 1,829,208 = 1,829,208 : x
  2. Step 2: Convert to fraction form
    1,203,712/1,829,208 = 1,829,208/x
  3. Step 3: Cross multiply
    1,203,712x = 1,829,208 × 1,829,208
  4. Step 4: Simplify right side
    1,203,712x = 3,346,001,907,264
  5. Step 5: Solve for x
    x = 3,346,001,907,264/1,203,712
  6. Step 6: Final answer
    x = 2,779,736.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.