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Finding the Third Proportional to 741,271.50 and 1,624,374

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Solution

The third proportional to 741,271.50 and 1,624,374 is: 3,559,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,271.50 : 1,624,374 = 1,624,374 : x
  2. Step 2: Convert to fraction form
    741,271.50/1,624,374 = 1,624,374/x
  3. Step 3: Cross multiply
    741,271.50x = 1,624,374 × 1,624,374
  4. Step 4: Simplify right side
    741,271.50x = 2,638,590,891,876
  5. Step 5: Solve for x
    x = 2,638,590,891,876/741,271.50
  6. Step 6: Final answer
    x = 3,559,547.20

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Why These Related Problems?

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