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Finding the Third Proportional to 446,816 and 924,736

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Solution

The third proportional to 446,816 and 924,736 is: 1,913,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,816 : 924,736 = 924,736 : x
  2. Step 2: Convert to fraction form
    446,816/924,736 = 924,736/x
  3. Step 3: Cross multiply
    446,816x = 924,736 × 924,736
  4. Step 4: Simplify right side
    446,816x = 855,136,669,696
  5. Step 5: Solve for x
    x = 855,136,669,696/446,816
  6. Step 6: Final answer
    x = 1,913,845.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.