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Finding the Third Proportional to 804,234 and 1,674,618

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Solution

The third proportional to 804,234 and 1,674,618 is: 3,486,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,234 : 1,674,618 = 1,674,618 : x
  2. Step 2: Convert to fraction form
    804,234/1,674,618 = 1,674,618/x
  3. Step 3: Cross multiply
    804,234x = 1,674,618 × 1,674,618
  4. Step 4: Simplify right side
    804,234x = 2,804,345,445,924
  5. Step 5: Solve for x
    x = 2,804,345,445,924/804,234
  6. Step 6: Final answer
    x = 3,486,976.98

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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.