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Finding the Third Proportional to 684,188 and 1,038,284

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Solution

The third proportional to 684,188 and 1,038,284 is: 1,575,639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,188 : 1,038,284 = 1,038,284 : x
  2. Step 2: Convert to fraction form
    684,188/1,038,284 = 1,038,284/x
  3. Step 3: Cross multiply
    684,188x = 1,038,284 × 1,038,284
  4. Step 4: Simplify right side
    684,188x = 1,078,033,664,656
  5. Step 5: Solve for x
    x = 1,078,033,664,656/684,188
  6. Step 6: Final answer
    x = 1,575,639.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.