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Finding the Third Proportional to 804,830.77 and 1,705,616.16

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Solution

The third proportional to 804,830.77 and 1,705,616.16 is: 3,614,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,830.77 : 1,705,616.16 = 1,705,616.16 : x
  2. Step 2: Convert to fraction form
    804,830.77/1,705,616.16 = 1,705,616.16/x
  3. Step 3: Cross multiply
    804,830.77x = 1,705,616.16 × 1,705,616.16
  4. Step 4: Simplify right side
    804,830.77x = 2,909,126,472,461.02
  5. Step 5: Solve for x
    x = 2,909,126,472,461.02/804,830.77
  6. Step 6: Final answer
    x = 3,614,581.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.