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Finding the Third Proportional to 930,159 and 1,971,009

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Solution

The third proportional to 930,159 and 1,971,009 is: 4,176,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,159 : 1,971,009 = 1,971,009 : x
  2. Step 2: Convert to fraction form
    930,159/1,971,009 = 1,971,009/x
  3. Step 3: Cross multiply
    930,159x = 1,971,009 × 1,971,009
  4. Step 4: Simplify right side
    930,159x = 3,884,876,478,081
  5. Step 5: Solve for x
    x = 3,884,876,478,081/930,159
  6. Step 6: Final answer
    x = 4,176,572.48

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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.