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Finding the Third Proportional to 603,634.78 and 1,312,101.28

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Solution

The third proportional to 603,634.78 and 1,312,101.28 is: 2,852,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,634.78 : 1,312,101.28 = 1,312,101.28 : x
  2. Step 2: Convert to fraction form
    603,634.78/1,312,101.28 = 1,312,101.28/x
  3. Step 3: Cross multiply
    603,634.78x = 1,312,101.28 × 1,312,101.28
  4. Step 4: Simplify right side
    603,634.78x = 1,721,609,772,257.89
  5. Step 5: Solve for x
    x = 1,721,609,772,257.89/603,634.78
  6. Step 6: Final answer
    x = 2,852,071.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.