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Finding the Third Proportional to 459,254 and 973,148

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Solution

The third proportional to 459,254 and 973,148 is: 2,062,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,254 : 973,148 = 973,148 : x
  2. Step 2: Convert to fraction form
    459,254/973,148 = 973,148/x
  3. Step 3: Cross multiply
    459,254x = 973,148 × 973,148
  4. Step 4: Simplify right side
    459,254x = 947,017,029,904
  5. Step 5: Solve for x
    x = 947,017,029,904/459,254
  6. Step 6: Final answer
    x = 2,062,076.82

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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.