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Finding the Third Proportional to 804,523 and 1,762,663

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Solution

The third proportional to 804,523 and 1,762,663 is: 3,861,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,523 : 1,762,663 = 1,762,663 : x
  2. Step 2: Convert to fraction form
    804,523/1,762,663 = 1,762,663/x
  3. Step 3: Cross multiply
    804,523x = 1,762,663 × 1,762,663
  4. Step 4: Simplify right side
    804,523x = 3,106,980,851,569
  5. Step 5: Solve for x
    x = 3,106,980,851,569/804,523
  6. Step 6: Final answer
    x = 3,861,891.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.