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Finding the Third Proportional to 889,991,472 and 1,309,266,447

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Solution

The third proportional to 889,991,472 and 1,309,266,447 is: 1,926,061,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,991,472 : 1,309,266,447 = 1,309,266,447 : x
  2. Step 2: Convert to fraction form
    889,991,472/1,309,266,447 = 1,309,266,447/x
  3. Step 3: Cross multiply
    889,991,472x = 1,309,266,447 × 1,309,266,447
  4. Step 4: Simplify right side
    889,991,472x = 1,714,178,629,240,003,840
  5. Step 5: Solve for x
    x = 1,714,178,629,240,003,840/889,991,472
  6. Step 6: Final answer
    x = 1,926,061,859.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.