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Finding the Third Proportional to 1,283,516 and 1,973,025

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Solution

The third proportional to 1,283,516 and 1,973,025 is: 3,032,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,516 : 1,973,025 = 1,973,025 : x
  2. Step 2: Convert to fraction form
    1,283,516/1,973,025 = 1,973,025/x
  3. Step 3: Cross multiply
    1,283,516x = 1,973,025 × 1,973,025
  4. Step 4: Simplify right side
    1,283,516x = 3,892,827,650,625
  5. Step 5: Solve for x
    x = 3,892,827,650,625/1,283,516
  6. Step 6: Final answer
    x = 3,032,940.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.