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Finding the Third Proportional to 446,776 and 963,536

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Solution

The third proportional to 446,776 and 963,536 is: 2,078,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,776 : 963,536 = 963,536 : x
  2. Step 2: Convert to fraction form
    446,776/963,536 = 963,536/x
  3. Step 3: Cross multiply
    446,776x = 963,536 × 963,536
  4. Step 4: Simplify right side
    446,776x = 928,401,623,296
  5. Step 5: Solve for x
    x = 928,401,623,296/446,776
  6. Step 6: Final answer
    x = 2,078,002.45

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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.