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Finding the Third Proportional to 409,140,365 and 897,492,412

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Solution

The third proportional to 409,140,365 and 897,492,412 is: 1,968,743,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,140,365 : 897,492,412 = 897,492,412 : x
  2. Step 2: Convert to fraction form
    409,140,365/897,492,412 = 897,492,412/x
  3. Step 3: Cross multiply
    409,140,365x = 897,492,412 × 897,492,412
  4. Step 4: Simplify right side
    409,140,365x = 805,492,629,597,577,728
  5. Step 5: Solve for x
    x = 805,492,629,597,577,728/409,140,365
  6. Step 6: Final answer
    x = 1,968,743,977.63

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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.