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Finding the Third Proportional to 500,046 and 1,102,908

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Solution

The third proportional to 500,046 and 1,102,908 is: 2,432,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,046 : 1,102,908 = 1,102,908 : x
  2. Step 2: Convert to fraction form
    500,046/1,102,908 = 1,102,908/x
  3. Step 3: Cross multiply
    500,046x = 1,102,908 × 1,102,908
  4. Step 4: Simplify right side
    500,046x = 1,216,406,056,464
  5. Step 5: Solve for x
    x = 1,216,406,056,464/500,046
  6. Step 6: Final answer
    x = 2,432,588.31

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.