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Finding the Third Proportional to 675,020 and 1,425,906

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Solution

The third proportional to 675,020 and 1,425,906 is: 3,012,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,020 : 1,425,906 = 1,425,906 : x
  2. Step 2: Convert to fraction form
    675,020/1,425,906 = 1,425,906/x
  3. Step 3: Cross multiply
    675,020x = 1,425,906 × 1,425,906
  4. Step 4: Simplify right side
    675,020x = 2,033,207,920,836
  5. Step 5: Solve for x
    x = 2,033,207,920,836/675,020
  6. Step 6: Final answer
    x = 3,012,070.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.