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Finding the Third Proportional to 916,125.19 and 2,001,970.69

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Solution

The third proportional to 916,125.19 and 2,001,970.69 is: 4,374,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,125.19 : 2,001,970.69 = 2,001,970.69 : x
  2. Step 2: Convert to fraction form
    916,125.19/2,001,970.69 = 2,001,970.69/x
  3. Step 3: Cross multiply
    916,125.19x = 2,001,970.69 × 2,001,970.69
  4. Step 4: Simplify right side
    916,125.19x = 4,007,886,633,609.22
  5. Step 5: Solve for x
    x = 4,007,886,633,609.22/916,125.19
  6. Step 6: Final answer
    x = 4,374,824.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.