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Finding the Third Proportional to 446,832 and 924,768

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Solution

The third proportional to 446,832 and 924,768 is: 1,913,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,832 : 924,768 = 924,768 : x
  2. Step 2: Convert to fraction form
    446,832/924,768 = 924,768/x
  3. Step 3: Cross multiply
    446,832x = 924,768 × 924,768
  4. Step 4: Simplify right side
    446,832x = 855,195,853,824
  5. Step 5: Solve for x
    x = 855,195,853,824/446,832
  6. Step 6: Final answer
    x = 1,913,909.15

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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.