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Finding the Third Proportional to 1,294,715 and 2,026,583

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Solution

The third proportional to 1,294,715 and 2,026,583 is: 3,172,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,715 : 2,026,583 = 2,026,583 : x
  2. Step 2: Convert to fraction form
    1,294,715/2,026,583 = 2,026,583/x
  3. Step 3: Cross multiply
    1,294,715x = 2,026,583 × 2,026,583
  4. Step 4: Simplify right side
    1,294,715x = 4,107,038,655,889
  5. Step 5: Solve for x
    x = 4,107,038,655,889/1,294,715
  6. Step 6: Final answer
    x = 3,172,156.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.