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Finding the Third Proportional to 1,720,257 and 3,645,602

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Solution

The third proportional to 1,720,257 and 3,645,602 is: 7,725,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720,257 : 3,645,602 = 3,645,602 : x
  2. Step 2: Convert to fraction form
    1,720,257/3,645,602 = 3,645,602/x
  3. Step 3: Cross multiply
    1,720,257x = 3,645,602 × 3,645,602
  4. Step 4: Simplify right side
    1,720,257x = 13,290,413,942,404
  5. Step 5: Solve for x
    x = 13,290,413,942,404/1,720,257
  6. Step 6: Final answer
    x = 7,725,830.47

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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.