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Finding the Third Proportional to 1,719,541 and 3,643,904

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Solution

The third proportional to 1,719,541 and 3,643,904 is: 7,721,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719,541 : 3,643,904 = 3,643,904 : x
  2. Step 2: Convert to fraction form
    1,719,541/3,643,904 = 3,643,904/x
  3. Step 3: Cross multiply
    1,719,541x = 3,643,904 × 3,643,904
  4. Step 4: Simplify right side
    1,719,541x = 13,278,036,361,216
  5. Step 5: Solve for x
    x = 13,278,036,361,216/1,719,541
  6. Step 6: Final answer
    x = 7,721,849.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.