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Finding the Third Proportional to 512,643 and 1,121,829

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Solution

The third proportional to 512,643 and 1,121,829 is: 2,454,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,643 : 1,121,829 = 1,121,829 : x
  2. Step 2: Convert to fraction form
    512,643/1,121,829 = 1,121,829/x
  3. Step 3: Cross multiply
    512,643x = 1,121,829 × 1,121,829
  4. Step 4: Simplify right side
    512,643x = 1,258,500,305,241
  5. Step 5: Solve for x
    x = 1,258,500,305,241/512,643
  6. Step 6: Final answer
    x = 2,454,925.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.