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Finding the Third Proportional to 711,618 and 1,082,091

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Solution

The third proportional to 711,618 and 1,082,091 is: 1,645,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,618 : 1,082,091 = 1,082,091 : x
  2. Step 2: Convert to fraction form
    711,618/1,082,091 = 1,082,091/x
  3. Step 3: Cross multiply
    711,618x = 1,082,091 × 1,082,091
  4. Step 4: Simplify right side
    711,618x = 1,170,920,932,281
  5. Step 5: Solve for x
    x = 1,170,920,932,281/711,618
  6. Step 6: Final answer
    x = 1,645,434.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.