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Finding the Third Proportional to 490,822 and 1,038,224

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Solution

The third proportional to 490,822 and 1,038,224 is: 2,196,130.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,822 : 1,038,224 = 1,038,224 : x
  2. Step 2: Convert to fraction form
    490,822/1,038,224 = 1,038,224/x
  3. Step 3: Cross multiply
    490,822x = 1,038,224 × 1,038,224
  4. Step 4: Simplify right side
    490,822x = 1,077,909,074,176
  5. Step 5: Solve for x
    x = 1,077,909,074,176/490,822
  6. Step 6: Final answer
    x = 2,196,130.32

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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.