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Finding the Third Proportional to 546,232 and 1,136,064

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Solution

The third proportional to 546,232 and 1,136,064 is: 2,362,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,232 : 1,136,064 = 1,136,064 : x
  2. Step 2: Convert to fraction form
    546,232/1,136,064 = 1,136,064/x
  3. Step 3: Cross multiply
    546,232x = 1,136,064 × 1,136,064
  4. Step 4: Simplify right side
    546,232x = 1,290,641,412,096
  5. Step 5: Solve for x
    x = 1,290,641,412,096/546,232
  6. Step 6: Final answer
    x = 2,362,808.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.