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Finding the Third Proportional to 595,927.13 and 1,298,261.67

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Solution

The third proportional to 595,927.13 and 1,298,261.67 is: 2,828,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,927.13 : 1,298,261.67 = 1,298,261.67 : x
  2. Step 2: Convert to fraction form
    595,927.13/1,298,261.67 = 1,298,261.67/x
  3. Step 3: Cross multiply
    595,927.13x = 1,298,261.67 × 1,298,261.67
  4. Step 4: Simplify right side
    595,927.13x = 1,685,483,368,659.67
  5. Step 5: Solve for x
    x = 1,685,483,368,659.67/595,927.13
  6. Step 6: Final answer
    x = 2,828,338.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.