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Finding the Third Proportional to 590,182 and 1,264,516

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Solution

The third proportional to 590,182 and 1,264,516 is: 2,709,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,182 : 1,264,516 = 1,264,516 : x
  2. Step 2: Convert to fraction form
    590,182/1,264,516 = 1,264,516/x
  3. Step 3: Cross multiply
    590,182x = 1,264,516 × 1,264,516
  4. Step 4: Simplify right side
    590,182x = 1,599,000,714,256
  5. Step 5: Solve for x
    x = 1,599,000,714,256/590,182
  6. Step 6: Final answer
    x = 2,709,334.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.