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Finding the Third Proportional to 837,739 and 1,808,342

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Solution

The third proportional to 837,739 and 1,808,342 is: 3,903,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,739 : 1,808,342 = 1,808,342 : x
  2. Step 2: Convert to fraction form
    837,739/1,808,342 = 1,808,342/x
  3. Step 3: Cross multiply
    837,739x = 1,808,342 × 1,808,342
  4. Step 4: Simplify right side
    837,739x = 3,270,100,788,964
  5. Step 5: Solve for x
    x = 3,270,100,788,964/837,739
  6. Step 6: Final answer
    x = 3,903,484.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.