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Finding the Third Proportional to 1,020,754 and 2,146,000

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Solution

The third proportional to 1,020,754 and 2,146,000 is: 4,511,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,754 : 2,146,000 = 2,146,000 : x
  2. Step 2: Convert to fraction form
    1,020,754/2,146,000 = 2,146,000/x
  3. Step 3: Cross multiply
    1,020,754x = 2,146,000 × 2,146,000
  4. Step 4: Simplify right side
    1,020,754x = 4,605,316,000,000
  5. Step 5: Solve for x
    x = 4,605,316,000,000/1,020,754
  6. Step 6: Final answer
    x = 4,511,680.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.