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Finding the Third Proportional to 840,020 and 1,974,562

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Solution

The third proportional to 840,020 and 1,974,562 is: 4,641,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,020 : 1,974,562 = 1,974,562 : x
  2. Step 2: Convert to fraction form
    840,020/1,974,562 = 1,974,562/x
  3. Step 3: Cross multiply
    840,020x = 1,974,562 × 1,974,562
  4. Step 4: Simplify right side
    840,020x = 3,898,895,091,844
  5. Step 5: Solve for x
    x = 3,898,895,091,844/840,020
  6. Step 6: Final answer
    x = 4,641,431.27

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.