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Finding the Third Proportional to 1,711,735 and 3,614,427

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Solution

The third proportional to 1,711,735 and 3,614,427 is: 7,632,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711,735 : 3,614,427 = 3,614,427 : x
  2. Step 2: Convert to fraction form
    1,711,735/3,614,427 = 3,614,427/x
  3. Step 3: Cross multiply
    1,711,735x = 3,614,427 × 3,614,427
  4. Step 4: Simplify right side
    1,711,735x = 13,064,082,538,329
  5. Step 5: Solve for x
    x = 13,064,082,538,329/1,711,735
  6. Step 6: Final answer
    x = 7,632,070.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.