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Finding the Third Proportional to 880,564.50 and 1,911,703.50

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Solution

The third proportional to 880,564.50 and 1,911,703.50 is: 4,150,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,564.50 : 1,911,703.50 = 1,911,703.50 : x
  2. Step 2: Convert to fraction form
    880,564.50/1,911,703.50 = 1,911,703.50/x
  3. Step 3: Cross multiply
    880,564.50x = 1,911,703.50 × 1,911,703.50
  4. Step 4: Simplify right side
    880,564.50x = 3,654,610,271,912.25
  5. Step 5: Solve for x
    x = 3,654,610,271,912.25/880,564.50
  6. Step 6: Final answer
    x = 4,150,303.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.