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Finding the Third Proportional to 782,297,244 and 1,657,862,256

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Solution

The third proportional to 782,297,244 and 1,657,862,256 is: 3,513,379,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,297,244 : 1,657,862,256 = 1,657,862,256 : x
  2. Step 2: Convert to fraction form
    782,297,244/1,657,862,256 = 1,657,862,256/x
  3. Step 3: Cross multiply
    782,297,244x = 1,657,862,256 × 1,657,862,256
  4. Step 4: Simplify right side
    782,297,244x = 2,748,507,259,869,409,280
  5. Step 5: Solve for x
    x = 2,748,507,259,869,409,280/782,297,244
  6. Step 6: Final answer
    x = 3,513,379,704.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.