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Finding the Third Proportional to 497,322 and 1,064,448

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Solution

The third proportional to 497,322 and 1,064,448 is: 2,278,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,322 : 1,064,448 = 1,064,448 : x
  2. Step 2: Convert to fraction form
    497,322/1,064,448 = 1,064,448/x
  3. Step 3: Cross multiply
    497,322x = 1,064,448 × 1,064,448
  4. Step 4: Simplify right side
    497,322x = 1,133,049,544,704
  5. Step 5: Solve for x
    x = 1,133,049,544,704/497,322
  6. Step 6: Final answer
    x = 2,278,301.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.