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Finding the Third Proportional to 822,315 and 1,265,584

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Solution

The third proportional to 822,315 and 1,265,584 is: 1,947,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,315 : 1,265,584 = 1,265,584 : x
  2. Step 2: Convert to fraction form
    822,315/1,265,584 = 1,265,584/x
  3. Step 3: Cross multiply
    822,315x = 1,265,584 × 1,265,584
  4. Step 4: Simplify right side
    822,315x = 1,601,702,861,056
  5. Step 5: Solve for x
    x = 1,601,702,861,056/822,315
  6. Step 6: Final answer
    x = 1,947,797.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.