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Finding the Third Proportional to 817,030 and 1,731,212

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Solution

The third proportional to 817,030 and 1,731,212 is: 3,668,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,030 : 1,731,212 = 1,731,212 : x
  2. Step 2: Convert to fraction form
    817,030/1,731,212 = 1,731,212/x
  3. Step 3: Cross multiply
    817,030x = 1,731,212 × 1,731,212
  4. Step 4: Simplify right side
    817,030x = 2,997,094,988,944
  5. Step 5: Solve for x
    x = 2,997,094,988,944/817,030
  6. Step 6: Final answer
    x = 3,668,280.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.