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Finding the Third Proportional to 806,838 and 1,755,618

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Solution

The third proportional to 806,838 and 1,755,618 is: 3,820,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,838 : 1,755,618 = 1,755,618 : x
  2. Step 2: Convert to fraction form
    806,838/1,755,618 = 1,755,618/x
  3. Step 3: Cross multiply
    806,838x = 1,755,618 × 1,755,618
  4. Step 4: Simplify right side
    806,838x = 3,082,194,561,924
  5. Step 5: Solve for x
    x = 3,082,194,561,924/806,838
  6. Step 6: Final answer
    x = 3,820,090.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.