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Finding the Third Proportional to 458,152 and 947,731

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Solution

The third proportional to 458,152 and 947,731 is: 1,960,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,152 : 947,731 = 947,731 : x
  2. Step 2: Convert to fraction form
    458,152/947,731 = 947,731/x
  3. Step 3: Cross multiply
    458,152x = 947,731 × 947,731
  4. Step 4: Simplify right side
    458,152x = 898,194,048,361
  5. Step 5: Solve for x
    x = 898,194,048,361/458,152
  6. Step 6: Final answer
    x = 1,960,471.74

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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.