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Finding the Third Proportional to 616,068 and 1,348,086

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Solution

The third proportional to 616,068 and 1,348,086 is: 2,949,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,068 : 1,348,086 = 1,348,086 : x
  2. Step 2: Convert to fraction form
    616,068/1,348,086 = 1,348,086/x
  3. Step 3: Cross multiply
    616,068x = 1,348,086 × 1,348,086
  4. Step 4: Simplify right side
    616,068x = 1,817,335,863,396
  5. Step 5: Solve for x
    x = 1,817,335,863,396/616,068
  6. Step 6: Final answer
    x = 2,949,894.92

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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.