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Finding the Third Proportional to 1,537,915 and 3,365,467

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Solution

The third proportional to 1,537,915 and 3,365,467 is: 7,364,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,915 : 3,365,467 = 3,365,467 : x
  2. Step 2: Convert to fraction form
    1,537,915/3,365,467 = 3,365,467/x
  3. Step 3: Cross multiply
    1,537,915x = 3,365,467 × 3,365,467
  4. Step 4: Simplify right side
    1,537,915x = 11,326,368,128,089
  5. Step 5: Solve for x
    x = 11,326,368,128,089/1,537,915
  6. Step 6: Final answer
    x = 7,364,755.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.