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Finding the Third Proportional to 596,421 and 1,281,834

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Solution

The third proportional to 596,421 and 1,281,834 is: 2,754,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,421 : 1,281,834 = 1,281,834 : x
  2. Step 2: Convert to fraction form
    596,421/1,281,834 = 1,281,834/x
  3. Step 3: Cross multiply
    596,421x = 1,281,834 × 1,281,834
  4. Step 4: Simplify right side
    596,421x = 1,643,098,403,556
  5. Step 5: Solve for x
    x = 1,643,098,403,556/596,421
  6. Step 6: Final answer
    x = 2,754,930.50

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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.