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Finding the Third Proportional to 459,276 and 973,224

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Solution

The third proportional to 459,276 and 973,224 is: 2,062,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,276 : 973,224 = 973,224 : x
  2. Step 2: Convert to fraction form
    459,276/973,224 = 973,224/x
  3. Step 3: Cross multiply
    459,276x = 973,224 × 973,224
  4. Step 4: Simplify right side
    459,276x = 947,164,954,176
  5. Step 5: Solve for x
    x = 947,164,954,176/459,276
  6. Step 6: Final answer
    x = 2,062,300.13

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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.