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Finding the Third Proportional to 431,618 and 880,370

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Solution

The third proportional to 431,618 and 880,370 is: 1,795,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,618 : 880,370 = 880,370 : x
  2. Step 2: Convert to fraction form
    431,618/880,370 = 880,370/x
  3. Step 3: Cross multiply
    431,618x = 880,370 × 880,370
  4. Step 4: Simplify right side
    431,618x = 775,051,336,900
  5. Step 5: Solve for x
    x = 775,051,336,900/431,618
  6. Step 6: Final answer
    x = 1,795,688.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.