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Finding the Third Proportional to 623,546 and 1,346,728

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Solution

The third proportional to 623,546 and 1,346,728 is: 2,908,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,546 : 1,346,728 = 1,346,728 : x
  2. Step 2: Convert to fraction form
    623,546/1,346,728 = 1,346,728/x
  3. Step 3: Cross multiply
    623,546x = 1,346,728 × 1,346,728
  4. Step 4: Simplify right side
    623,546x = 1,813,676,305,984
  5. Step 5: Solve for x
    x = 1,813,676,305,984/623,546
  6. Step 6: Final answer
    x = 2,908,648.77

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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.