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Finding the Third Proportional to 698,991,408 and 1,085,317,410

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Solution

The third proportional to 698,991,408 and 1,085,317,410 is: 1,685,162,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,991,408 : 1,085,317,410 = 1,085,317,410 : x
  2. Step 2: Convert to fraction form
    698,991,408/1,085,317,410 = 1,085,317,410/x
  3. Step 3: Cross multiply
    698,991,408x = 1,085,317,410 × 1,085,317,410
  4. Step 4: Simplify right side
    698,991,408x = 1,177,913,880,449,108,224
  5. Step 5: Solve for x
    x = 1,177,913,880,449,108,224/698,991,408
  6. Step 6: Final answer
    x = 1,685,162,173.62

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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.