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Finding the Third Proportional to 596,433 and 1,281,858

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Solution

The third proportional to 596,433 and 1,281,858 is: 2,754,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,433 : 1,281,858 = 1,281,858 : x
  2. Step 2: Convert to fraction form
    596,433/1,281,858 = 1,281,858/x
  3. Step 3: Cross multiply
    596,433x = 1,281,858 × 1,281,858
  4. Step 4: Simplify right side
    596,433x = 1,643,159,932,164
  5. Step 5: Solve for x
    x = 1,643,159,932,164/596,433
  6. Step 6: Final answer
    x = 2,754,978.23

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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.