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Finding the Third Proportional to 965,323 and 1,460,439

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Solution

The third proportional to 965,323 and 1,460,439 is: 2,209,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,323 : 1,460,439 = 1,460,439 : x
  2. Step 2: Convert to fraction form
    965,323/1,460,439 = 1,460,439/x
  3. Step 3: Cross multiply
    965,323x = 1,460,439 × 1,460,439
  4. Step 4: Simplify right side
    965,323x = 2,132,882,072,721
  5. Step 5: Solve for x
    x = 2,132,882,072,721/965,323
  6. Step 6: Final answer
    x = 2,209,500.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.