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Finding the Third Proportional to 1,975,017 and 4,229,964

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Solution

The third proportional to 1,975,017 and 4,229,964 is: 9,059,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,017 : 4,229,964 = 4,229,964 : x
  2. Step 2: Convert to fraction form
    1,975,017/4,229,964 = 4,229,964/x
  3. Step 3: Cross multiply
    1,975,017x = 4,229,964 × 4,229,964
  4. Step 4: Simplify right side
    1,975,017x = 17,892,595,441,296
  5. Step 5: Solve for x
    x = 17,892,595,441,296/1,975,017
  6. Step 6: Final answer
    x = 9,059,464.02

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Why These Related Problems?

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