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Finding the Third Proportional to 590,416 and 1,222,844

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Solution

The third proportional to 590,416 and 1,222,844 is: 2,532,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,416 : 1,222,844 = 1,222,844 : x
  2. Step 2: Convert to fraction form
    590,416/1,222,844 = 1,222,844/x
  3. Step 3: Cross multiply
    590,416x = 1,222,844 × 1,222,844
  4. Step 4: Simplify right side
    590,416x = 1,495,347,448,336
  5. Step 5: Solve for x
    x = 1,495,347,448,336/590,416
  6. Step 6: Final answer
    x = 2,532,701.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.