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Finding the Third Proportional to 677,088 and 1,430,172

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Solution

The third proportional to 677,088 and 1,430,172 is: 3,020,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,088 : 1,430,172 = 1,430,172 : x
  2. Step 2: Convert to fraction form
    677,088/1,430,172 = 1,430,172/x
  3. Step 3: Cross multiply
    677,088x = 1,430,172 × 1,430,172
  4. Step 4: Simplify right side
    677,088x = 2,045,391,949,584
  5. Step 5: Solve for x
    x = 2,045,391,949,584/677,088
  6. Step 6: Final answer
    x = 3,020,865.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.