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Finding the Third Proportional to 589,042 and 1,256,774

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Solution

The third proportional to 589,042 and 1,256,774 is: 2,681,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,042 : 1,256,774 = 1,256,774 : x
  2. Step 2: Convert to fraction form
    589,042/1,256,774 = 1,256,774/x
  3. Step 3: Cross multiply
    589,042x = 1,256,774 × 1,256,774
  4. Step 4: Simplify right side
    589,042x = 1,579,480,887,076
  5. Step 5: Solve for x
    x = 1,579,480,887,076/589,042
  6. Step 6: Final answer
    x = 2,681,440.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.