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Finding the Third Proportional to 3,645,145 and 5,610,603

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Solution

The third proportional to 3,645,145 and 5,610,603 is: 8,635,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,145 : 5,610,603 = 5,610,603 : x
  2. Step 2: Convert to fraction form
    3,645,145/5,610,603 = 5,610,603/x
  3. Step 3: Cross multiply
    3,645,145x = 5,610,603 × 5,610,603
  4. Step 4: Simplify right side
    3,645,145x = 31,478,866,023,609
  5. Step 5: Solve for x
    x = 31,478,866,023,609/3,645,145
  6. Step 6: Final answer
    x = 8,635,833.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.