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Finding the Third Proportional to 1,736,964 and 3,827,309

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Solution

The third proportional to 1,736,964 and 3,827,309 is: 8,433,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,964 : 3,827,309 = 3,827,309 : x
  2. Step 2: Convert to fraction form
    1,736,964/3,827,309 = 3,827,309/x
  3. Step 3: Cross multiply
    1,736,964x = 3,827,309 × 3,827,309
  4. Step 4: Simplify right side
    1,736,964x = 14,648,294,181,481
  5. Step 5: Solve for x
    x = 14,648,294,181,481/1,736,964
  6. Step 6: Final answer
    x = 8,433,274.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.