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Finding the Third Proportional to 1,306,832.63 and 2,830,820.63

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Solution

The third proportional to 1,306,832.63 and 2,830,820.63 is: 6,132,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,832.63 : 2,830,820.63 = 2,830,820.63 : x
  2. Step 2: Convert to fraction form
    1,306,832.63/2,830,820.63 = 2,830,820.63/x
  3. Step 3: Cross multiply
    1,306,832.63x = 2,830,820.63 × 2,830,820.63
  4. Step 4: Simplify right side
    1,306,832.63x = 8,013,545,410,925.39
  5. Step 5: Solve for x
    x = 8,013,545,410,925.39/1,306,832.63
  6. Step 6: Final answer
    x = 6,132,036.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.