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Finding the Third Proportional to 586,024 and 1,263,056

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Solution

The third proportional to 586,024 and 1,263,056 is: 2,722,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,024 : 1,263,056 = 1,263,056 : x
  2. Step 2: Convert to fraction form
    586,024/1,263,056 = 1,263,056/x
  3. Step 3: Cross multiply
    586,024x = 1,263,056 × 1,263,056
  4. Step 4: Simplify right side
    586,024x = 1,595,310,459,136
  5. Step 5: Solve for x
    x = 1,595,310,459,136/586,024
  6. Step 6: Final answer
    x = 2,722,261.31

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Why These Related Problems?

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