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Finding the Third Proportional to 786,124 and 1,246,794

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Solution

The third proportional to 786,124 and 1,246,794 is: 1,977,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,124 : 1,246,794 = 1,246,794 : x
  2. Step 2: Convert to fraction form
    786,124/1,246,794 = 1,246,794/x
  3. Step 3: Cross multiply
    786,124x = 1,246,794 × 1,246,794
  4. Step 4: Simplify right side
    786,124x = 1,554,495,278,436
  5. Step 5: Solve for x
    x = 1,554,495,278,436/786,124
  6. Step 6: Final answer
    x = 1,977,417.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.