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Finding the Third Proportional to 507,678.47 and 1,114,988.63

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Solution

The third proportional to 507,678.47 and 1,114,988.63 is: 2,448,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,678.47 : 1,114,988.63 = 1,114,988.63 : x
  2. Step 2: Convert to fraction form
    507,678.47/1,114,988.63 = 1,114,988.63/x
  3. Step 3: Cross multiply
    507,678.47x = 1,114,988.63 × 1,114,988.63
  4. Step 4: Simplify right side
    507,678.47x = 1,243,199,633,879.39
  5. Step 5: Solve for x
    x = 1,243,199,633,879.39/507,678.47
  6. Step 6: Final answer
    x = 2,448,793.30

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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.