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Finding the Third Proportional to 623,330 and 1,346,344

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Solution

The third proportional to 623,330 and 1,346,344 is: 2,907,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,330 : 1,346,344 = 1,346,344 : x
  2. Step 2: Convert to fraction form
    623,330/1,346,344 = 1,346,344/x
  3. Step 3: Cross multiply
    623,330x = 1,346,344 × 1,346,344
  4. Step 4: Simplify right side
    623,330x = 1,812,642,166,336
  5. Step 5: Solve for x
    x = 1,812,642,166,336/623,330
  6. Step 6: Final answer
    x = 2,907,997.64

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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.