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Finding the Third Proportional to 630,584 and 1,383,804

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Solution

The third proportional to 630,584 and 1,383,804 is: 3,036,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,584 : 1,383,804 = 1,383,804 : x
  2. Step 2: Convert to fraction form
    630,584/1,383,804 = 1,383,804/x
  3. Step 3: Cross multiply
    630,584x = 1,383,804 × 1,383,804
  4. Step 4: Simplify right side
    630,584x = 1,914,913,510,416
  5. Step 5: Solve for x
    x = 1,914,913,510,416/630,584
  6. Step 6: Final answer
    x = 3,036,730.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.