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Finding the Third Proportional to 384,618 and 841,623

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Solution

The third proportional to 384,618 and 841,623 is: 1,841,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,618 : 841,623 = 841,623 : x
  2. Step 2: Convert to fraction form
    384,618/841,623 = 841,623/x
  3. Step 3: Cross multiply
    384,618x = 841,623 × 841,623
  4. Step 4: Simplify right side
    384,618x = 708,329,274,129
  5. Step 5: Solve for x
    x = 708,329,274,129/384,618
  6. Step 6: Final answer
    x = 1,841,643.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.