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Finding the Third Proportional to 804,284 and 1,674,712

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Solution

The third proportional to 804,284 and 1,674,712 is: 3,487,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,284 : 1,674,712 = 1,674,712 : x
  2. Step 2: Convert to fraction form
    804,284/1,674,712 = 1,674,712/x
  3. Step 3: Cross multiply
    804,284x = 1,674,712 × 1,674,712
  4. Step 4: Simplify right side
    804,284x = 2,804,660,282,944
  5. Step 5: Solve for x
    x = 2,804,660,282,944/804,284
  6. Step 6: Final answer
    x = 3,487,151.66

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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.