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Finding the Third Proportional to 804,159 and 1,674,462

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Solution

The third proportional to 804,159 and 1,674,462 is: 3,486,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,159 : 1,674,462 = 1,674,462 : x
  2. Step 2: Convert to fraction form
    804,159/1,674,462 = 1,674,462/x
  3. Step 3: Cross multiply
    804,159x = 1,674,462 × 1,674,462
  4. Step 4: Simplify right side
    804,159x = 2,803,822,989,444
  5. Step 5: Solve for x
    x = 2,803,822,989,444/804,159
  6. Step 6: Final answer
    x = 3,486,652.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.