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Finding the Third Proportional to 477,212 and 1,029,148

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Solution

The third proportional to 477,212 and 1,029,148 is: 2,219,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,212 : 1,029,148 = 1,029,148 : x
  2. Step 2: Convert to fraction form
    477,212/1,029,148 = 1,029,148/x
  3. Step 3: Cross multiply
    477,212x = 1,029,148 × 1,029,148
  4. Step 4: Simplify right side
    477,212x = 1,059,145,605,904
  5. Step 5: Solve for x
    x = 1,059,145,605,904/477,212
  6. Step 6: Final answer
    x = 2,219,444.62

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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.