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Finding the Third Proportional to 1,254,464 and 1,884,520

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Solution

The third proportional to 1,254,464 and 1,884,520 is: 2,831,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,464 : 1,884,520 = 1,884,520 : x
  2. Step 2: Convert to fraction form
    1,254,464/1,884,520 = 1,884,520/x
  3. Step 3: Cross multiply
    1,254,464x = 1,884,520 × 1,884,520
  4. Step 4: Simplify right side
    1,254,464x = 3,551,415,630,400
  5. Step 5: Solve for x
    x = 3,551,415,630,400/1,254,464
  6. Step 6: Final answer
    x = 2,831,022.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.