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Finding the Third Proportional to 803,905 and 1,673,964

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Solution

The third proportional to 803,905 and 1,673,964 is: 3,485,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,905 : 1,673,964 = 1,673,964 : x
  2. Step 2: Convert to fraction form
    803,905/1,673,964 = 1,673,964/x
  3. Step 3: Cross multiply
    803,905x = 1,673,964 × 1,673,964
  4. Step 4: Simplify right side
    803,905x = 2,802,155,473,296
  5. Step 5: Solve for x
    x = 2,802,155,473,296/803,905
  6. Step 6: Final answer
    x = 3,485,679.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.