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Finding the Third Proportional to 698,991,412 and 1,085,317,416

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Solution

The third proportional to 698,991,412 and 1,085,317,416 is: 1,685,162,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,991,412 : 1,085,317,416 = 1,085,317,416 : x
  2. Step 2: Convert to fraction form
    698,991,412/1,085,317,416 = 1,085,317,416/x
  3. Step 3: Cross multiply
    698,991,412x = 1,085,317,416 × 1,085,317,416
  4. Step 4: Simplify right side
    698,991,412x = 1,177,913,893,472,916,992
  5. Step 5: Solve for x
    x = 1,177,913,893,472,916,992/698,991,412
  6. Step 6: Final answer
    x = 1,685,162,182.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.