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Finding the Third Proportional to 830,812.50 and 1,956,051

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Solution

The third proportional to 830,812.50 and 1,956,051 is: 4,605,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,812.50 : 1,956,051 = 1,956,051 : x
  2. Step 2: Convert to fraction form
    830,812.50/1,956,051 = 1,956,051/x
  3. Step 3: Cross multiply
    830,812.50x = 1,956,051 × 1,956,051
  4. Step 4: Simplify right side
    830,812.50x = 3,826,135,514,601
  5. Step 5: Solve for x
    x = 3,826,135,514,601/830,812.50
  6. Step 6: Final answer
    x = 4,605,293.63

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.