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Finding the Third Proportional to 611,448 and 1,266,096

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Solution

The third proportional to 611,448 and 1,266,096 is: 2,621,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,448 : 1,266,096 = 1,266,096 : x
  2. Step 2: Convert to fraction form
    611,448/1,266,096 = 1,266,096/x
  3. Step 3: Cross multiply
    611,448x = 1,266,096 × 1,266,096
  4. Step 4: Simplify right side
    611,448x = 1,602,999,081,216
  5. Step 5: Solve for x
    x = 1,602,999,081,216/611,448
  6. Step 6: Final answer
    x = 2,621,644.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.