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Finding the Third Proportional to 1,146,828 and 1,821,618

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Solution

The third proportional to 1,146,828 and 1,821,618 is: 2,893,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,828 : 1,821,618 = 1,821,618 : x
  2. Step 2: Convert to fraction form
    1,146,828/1,821,618 = 1,821,618/x
  3. Step 3: Cross multiply
    1,146,828x = 1,821,618 × 1,821,618
  4. Step 4: Simplify right side
    1,146,828x = 3,318,292,137,924
  5. Step 5: Solve for x
    x = 3,318,292,137,924/1,146,828
  6. Step 6: Final answer
    x = 2,893,452.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.