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Finding the Third Proportional to 476,637,984 and 1,028,519,056

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Solution

The third proportional to 476,637,984 and 1,028,519,056 is: 2,219,402,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,637,984 : 1,028,519,056 = 1,028,519,056 : x
  2. Step 2: Convert to fraction form
    476,637,984/1,028,519,056 = 1,028,519,056/x
  3. Step 3: Cross multiply
    476,637,984x = 1,028,519,056 × 1,028,519,056
  4. Step 4: Simplify right side
    476,637,984x = 1,057,851,448,555,131,136
  5. Step 5: Solve for x
    x = 1,057,851,448,555,131,136/476,637,984
  6. Step 6: Final answer
    x = 2,219,402,322.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.