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Finding the Third Proportional to 458,596 and 949,590

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Solution

The third proportional to 458,596 and 949,590 is: 1,966,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,596 : 949,590 = 949,590 : x
  2. Step 2: Convert to fraction form
    458,596/949,590 = 949,590/x
  3. Step 3: Cross multiply
    458,596x = 949,590 × 949,590
  4. Step 4: Simplify right side
    458,596x = 901,721,168,100
  5. Step 5: Solve for x
    x = 901,721,168,100/458,596
  6. Step 6: Final answer
    x = 1,966,264.79

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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.