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Finding the Third Proportional to 1,693,113 and 3,615,861

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Solution

The third proportional to 1,693,113 and 3,615,861 is: 7,722,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,113 : 3,615,861 = 3,615,861 : x
  2. Step 2: Convert to fraction form
    1,693,113/3,615,861 = 3,615,861/x
  3. Step 3: Cross multiply
    1,693,113x = 3,615,861 × 3,615,861
  4. Step 4: Simplify right side
    1,693,113x = 13,074,450,771,321
  5. Step 5: Solve for x
    x = 13,074,450,771,321/1,693,113
  6. Step 6: Final answer
    x = 7,722,137.14

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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.