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Finding the Third Proportional to 650,072 and 1,038,084

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Solution

The third proportional to 650,072 and 1,038,084 is: 1,657,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,072 : 1,038,084 = 1,038,084 : x
  2. Step 2: Convert to fraction form
    650,072/1,038,084 = 1,038,084/x
  3. Step 3: Cross multiply
    650,072x = 1,038,084 × 1,038,084
  4. Step 4: Simplify right side
    650,072x = 1,077,618,391,056
  5. Step 5: Solve for x
    x = 1,077,618,391,056/650,072
  6. Step 6: Final answer
    x = 1,657,690.83

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.