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Finding the Third Proportional to 623,362 and 1,345,136

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Solution

The third proportional to 623,362 and 1,345,136 is: 2,902,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,362 : 1,345,136 = 1,345,136 : x
  2. Step 2: Convert to fraction form
    623,362/1,345,136 = 1,345,136/x
  3. Step 3: Cross multiply
    623,362x = 1,345,136 × 1,345,136
  4. Step 4: Simplify right side
    623,362x = 1,809,390,858,496
  5. Step 5: Solve for x
    x = 1,809,390,858,496/623,362
  6. Step 6: Final answer
    x = 2,902,632.59

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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.