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Finding the Third Proportional to 762,412 and 1,121,442

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Solution

The third proportional to 762,412 and 1,121,442 is: 1,649,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,412 : 1,121,442 = 1,121,442 : x
  2. Step 2: Convert to fraction form
    762,412/1,121,442 = 1,121,442/x
  3. Step 3: Cross multiply
    762,412x = 1,121,442 × 1,121,442
  4. Step 4: Simplify right side
    762,412x = 1,257,632,159,364
  5. Step 5: Solve for x
    x = 1,257,632,159,364/762,412
  6. Step 6: Final answer
    x = 1,649,544.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.