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Finding the Third Proportional to 459,278 and 973,228

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Solution

The third proportional to 459,278 and 973,228 is: 2,062,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,278 : 973,228 = 973,228 : x
  2. Step 2: Convert to fraction form
    459,278/973,228 = 973,228/x
  3. Step 3: Cross multiply
    459,278x = 973,228 × 973,228
  4. Step 4: Simplify right side
    459,278x = 947,172,739,984
  5. Step 5: Solve for x
    x = 947,172,739,984/459,278
  6. Step 6: Final answer
    x = 2,062,308.10

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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.