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Finding the Third Proportional to 853,565 and 1,864,618

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Solution

The third proportional to 853,565 and 1,864,618 is: 4,073,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,565 : 1,864,618 = 1,864,618 : x
  2. Step 2: Convert to fraction form
    853,565/1,864,618 = 1,864,618/x
  3. Step 3: Cross multiply
    853,565x = 1,864,618 × 1,864,618
  4. Step 4: Simplify right side
    853,565x = 3,476,800,285,924
  5. Step 5: Solve for x
    x = 3,476,800,285,924/853,565
  6. Step 6: Final answer
    x = 4,073,269.51

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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.