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Finding the Third Proportional to 804,840 and 1,705,623

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Solution

The third proportional to 804,840 and 1,705,623 is: 3,614,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,840 : 1,705,623 = 1,705,623 : x
  2. Step 2: Convert to fraction form
    804,840/1,705,623 = 1,705,623/x
  3. Step 3: Cross multiply
    804,840x = 1,705,623 × 1,705,623
  4. Step 4: Simplify right side
    804,840x = 2,909,149,818,129
  5. Step 5: Solve for x
    x = 2,909,149,818,129/804,840
  6. Step 6: Final answer
    x = 3,614,569.13

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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.