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Finding the Third Proportional to 856,959,432 and 1,206,787,717.50

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Solution

The third proportional to 856,959,432 and 1,206,787,717.50 is: 1,699,423,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,959,432 : 1,206,787,717.50 = 1,206,787,717.50 : x
  2. Step 2: Convert to fraction form
    856,959,432/1,206,787,717.50 = 1,206,787,717.50/x
  3. Step 3: Cross multiply
    856,959,432x = 1,206,787,717.50 × 1,206,787,717.50
  4. Step 4: Simplify right side
    856,959,432x = 1,456,336,595,108,859,904
  5. Step 5: Solve for x
    x = 1,456,336,595,108,859,904/856,959,432
  6. Step 6: Final answer
    x = 1,699,423,030.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.