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Finding the Third Proportional to 511,136 and 1,087,840

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Solution

The third proportional to 511,136 and 1,087,840 is: 2,315,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,136 : 1,087,840 = 1,087,840 : x
  2. Step 2: Convert to fraction form
    511,136/1,087,840 = 1,087,840/x
  3. Step 3: Cross multiply
    511,136x = 1,087,840 × 1,087,840
  4. Step 4: Simplify right side
    511,136x = 1,183,395,865,600
  5. Step 5: Solve for x
    x = 1,183,395,865,600/511,136
  6. Step 6: Final answer
    x = 2,315,227.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.