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Finding the Third Proportional to 583,136 and 1,262,992

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Solution

The third proportional to 583,136 and 1,262,992 is: 2,735,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,136 : 1,262,992 = 1,262,992 : x
  2. Step 2: Convert to fraction form
    583,136/1,262,992 = 1,262,992/x
  3. Step 3: Cross multiply
    583,136x = 1,262,992 × 1,262,992
  4. Step 4: Simplify right side
    583,136x = 1,595,148,792,064
  5. Step 5: Solve for x
    x = 1,595,148,792,064/583,136
  6. Step 6: Final answer
    x = 2,735,466.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.