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Finding the Third Proportional to 804,532 and 1,762,701

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Solution

The third proportional to 804,532 and 1,762,701 is: 3,862,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,532 : 1,762,701 = 1,762,701 : x
  2. Step 2: Convert to fraction form
    804,532/1,762,701 = 1,762,701/x
  3. Step 3: Cross multiply
    804,532x = 1,762,701 × 1,762,701
  4. Step 4: Simplify right side
    804,532x = 3,107,114,815,401
  5. Step 5: Solve for x
    x = 3,107,114,815,401/804,532
  6. Step 6: Final answer
    x = 3,862,015.20

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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.