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Finding the Third Proportional to 458,586 and 949,572

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Solution

The third proportional to 458,586 and 949,572 is: 1,966,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,586 : 949,572 = 949,572 : x
  2. Step 2: Convert to fraction form
    458,586/949,572 = 949,572/x
  3. Step 3: Cross multiply
    458,586x = 949,572 × 949,572
  4. Step 4: Simplify right side
    458,586x = 901,686,983,184
  5. Step 5: Solve for x
    x = 901,686,983,184/458,586
  6. Step 6: Final answer
    x = 1,966,233.12

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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.