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Finding the Third Proportional to 507,701.63 and 1,115,054.63

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Solution

The third proportional to 507,701.63 and 1,115,054.63 is: 2,448,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,701.63 : 1,115,054.63 = 1,115,054.63 : x
  2. Step 2: Convert to fraction form
    507,701.63/1,115,054.63 = 1,115,054.63/x
  3. Step 3: Cross multiply
    507,701.63x = 1,115,054.63 × 1,115,054.63
  4. Step 4: Simplify right side
    507,701.63x = 1,243,346,816,733.89
  5. Step 5: Solve for x
    x = 1,243,346,816,733.89/507,701.63
  6. Step 6: Final answer
    x = 2,448,971.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.