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Finding the Third Proportional to 483,712 and 1,046,224

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Solution

The third proportional to 483,712 and 1,046,224 is: 2,262,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,712 : 1,046,224 = 1,046,224 : x
  2. Step 2: Convert to fraction form
    483,712/1,046,224 = 1,046,224/x
  3. Step 3: Cross multiply
    483,712x = 1,046,224 × 1,046,224
  4. Step 4: Simplify right side
    483,712x = 1,094,584,658,176
  5. Step 5: Solve for x
    x = 1,094,584,658,176/483,712
  6. Step 6: Final answer
    x = 2,262,885.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.