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Finding the Third Proportional to 409,140,364.50 and 897,492,408.75

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Solution

The third proportional to 409,140,364.50 and 897,492,408.75 is: 1,968,743,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,140,364.50 : 897,492,408.75 = 897,492,408.75 : x
  2. Step 2: Convert to fraction form
    409,140,364.50/897,492,408.75 = 897,492,408.75/x
  3. Step 3: Cross multiply
    409,140,364.50x = 897,492,408.75 × 897,492,408.75
  4. Step 4: Simplify right side
    409,140,364.50x = 805,492,623,763,877,120
  5. Step 5: Solve for x
    x = 805,492,623,763,877,120/409,140,364.50
  6. Step 6: Final answer
    x = 1,968,743,965.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.