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Finding the Third Proportional to 458,716 and 973,160

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Solution

The third proportional to 458,716 and 973,160 is: 2,064,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,716 : 973,160 = 973,160 : x
  2. Step 2: Convert to fraction form
    458,716/973,160 = 973,160/x
  3. Step 3: Cross multiply
    458,716x = 973,160 × 973,160
  4. Step 4: Simplify right side
    458,716x = 947,040,385,600
  5. Step 5: Solve for x
    x = 947,040,385,600/458,716
  6. Step 6: Final answer
    x = 2,064,546.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.