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Finding the Third Proportional to 4,442,866 and 6,495,897

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Solution

The third proportional to 4,442,866 and 6,495,897 is: 9,497,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442,866 : 6,495,897 = 6,495,897 : x
  2. Step 2: Convert to fraction form
    4,442,866/6,495,897 = 6,495,897/x
  3. Step 3: Cross multiply
    4,442,866x = 6,495,897 × 6,495,897
  4. Step 4: Simplify right side
    4,442,866x = 42,196,677,834,609
  5. Step 5: Solve for x
    x = 42,196,677,834,609/4,442,866
  6. Step 6: Final answer
    x = 9,497,625.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.