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Finding the Third Proportional to 779,043 and 1,196,705

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Solution

The third proportional to 779,043 and 1,196,705 is: 1,838,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,043 : 1,196,705 = 1,196,705 : x
  2. Step 2: Convert to fraction form
    779,043/1,196,705 = 1,196,705/x
  3. Step 3: Cross multiply
    779,043x = 1,196,705 × 1,196,705
  4. Step 4: Simplify right side
    779,043x = 1,432,102,857,025
  5. Step 5: Solve for x
    x = 1,432,102,857,025/779,043
  6. Step 6: Final answer
    x = 1,838,284.74

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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.