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Finding the Third Proportional to 601,754 and 1,281,484

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Solution

The third proportional to 601,754 and 1,281,484 is: 2,729,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,754 : 1,281,484 = 1,281,484 : x
  2. Step 2: Convert to fraction form
    601,754/1,281,484 = 1,281,484/x
  3. Step 3: Cross multiply
    601,754x = 1,281,484 × 1,281,484
  4. Step 4: Simplify right side
    601,754x = 1,642,201,242,256
  5. Step 5: Solve for x
    x = 1,642,201,242,256/601,754
  6. Step 6: Final answer
    x = 2,729,024.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.