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Finding the Third Proportional to 2,100,537 and 4,499,964

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Solution

The third proportional to 2,100,537 and 4,499,964 is: 9,640,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,537 : 4,499,964 = 4,499,964 : x
  2. Step 2: Convert to fraction form
    2,100,537/4,499,964 = 4,499,964/x
  3. Step 3: Cross multiply
    2,100,537x = 4,499,964 × 4,499,964
  4. Step 4: Simplify right side
    2,100,537x = 20,249,676,001,296
  5. Step 5: Solve for x
    x = 20,249,676,001,296/2,100,537
  6. Step 6: Final answer
    x = 9,640,237.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.