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Finding the Third Proportional to 589,342 and 1,272,590

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Solution

The third proportional to 589,342 and 1,272,590 is: 2,747,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,342 : 1,272,590 = 1,272,590 : x
  2. Step 2: Convert to fraction form
    589,342/1,272,590 = 1,272,590/x
  3. Step 3: Cross multiply
    589,342x = 1,272,590 × 1,272,590
  4. Step 4: Simplify right side
    589,342x = 1,619,485,308,100
  5. Step 5: Solve for x
    x = 1,619,485,308,100/589,342
  6. Step 6: Final answer
    x = 2,747,955.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.