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Finding the Third Proportional to 596,426 and 1,281,842

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Solution

The third proportional to 596,426 and 1,281,842 is: 2,754,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,426 : 1,281,842 = 1,281,842 : x
  2. Step 2: Convert to fraction form
    596,426/1,281,842 = 1,281,842/x
  3. Step 3: Cross multiply
    596,426x = 1,281,842 × 1,281,842
  4. Step 4: Simplify right side
    596,426x = 1,643,118,912,964
  5. Step 5: Solve for x
    x = 1,643,118,912,964/596,426
  6. Step 6: Final answer
    x = 2,754,941.79

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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.