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Finding the Third Proportional to 6,425,889 and 8,566,897

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Solution

The third proportional to 6,425,889 and 8,566,897 is: 11,421,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,889 : 8,566,897 = 8,566,897 : x
  2. Step 2: Convert to fraction form
    6,425,889/8,566,897 = 8,566,897/x
  3. Step 3: Cross multiply
    6,425,889x = 8,566,897 × 8,566,897
  4. Step 4: Simplify right side
    6,425,889x = 73,391,724,208,609
  5. Step 5: Solve for x
    x = 73,391,724,208,609/6,425,889
  6. Step 6: Final answer
    x = 11,421,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.