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Finding the Third Proportional to 667,323 and 1,034,159

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Solution

The third proportional to 667,323 and 1,034,159 is: 1,602,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,323 : 1,034,159 = 1,034,159 : x
  2. Step 2: Convert to fraction form
    667,323/1,034,159 = 1,034,159/x
  3. Step 3: Cross multiply
    667,323x = 1,034,159 × 1,034,159
  4. Step 4: Simplify right side
    667,323x = 1,069,484,837,281
  5. Step 5: Solve for x
    x = 1,069,484,837,281/667,323
  6. Step 6: Final answer
    x = 1,602,649.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.