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Finding the Third Proportional to 754,053 and 1,643,583

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Solution

The third proportional to 754,053 and 1,643,583 is: 3,582,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,053 : 1,643,583 = 1,643,583 : x
  2. Step 2: Convert to fraction form
    754,053/1,643,583 = 1,643,583/x
  3. Step 3: Cross multiply
    754,053x = 1,643,583 × 1,643,583
  4. Step 4: Simplify right side
    754,053x = 2,701,365,077,889
  5. Step 5: Solve for x
    x = 2,701,365,077,889/754,053
  6. Step 6: Final answer
    x = 3,582,460.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.