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Finding the Third Proportional to 520,086 and 1,117,768

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Solution

The third proportional to 520,086 and 1,117,768 is: 2,402,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086 : 1,117,768 = 1,117,768 : x
  2. Step 2: Convert to fraction form
    520,086/1,117,768 = 1,117,768/x
  3. Step 3: Cross multiply
    520,086x = 1,117,768 × 1,117,768
  4. Step 4: Simplify right side
    520,086x = 1,249,405,301,824
  5. Step 5: Solve for x
    x = 1,249,405,301,824/520,086
  6. Step 6: Final answer
    x = 2,402,305.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.