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Finding the Third Proportional to 804,521 and 1,675,786

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Solution

The third proportional to 804,521 and 1,675,786 is: 3,490,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,521 : 1,675,786 = 1,675,786 : x
  2. Step 2: Convert to fraction form
    804,521/1,675,786 = 1,675,786/x
  3. Step 3: Cross multiply
    804,521x = 1,675,786 × 1,675,786
  4. Step 4: Simplify right side
    804,521x = 2,808,258,717,796
  5. Step 5: Solve for x
    x = 2,808,258,717,796/804,521
  6. Step 6: Final answer
    x = 3,490,597.16

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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.