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Finding the Third Proportional to 969,412.50 and 2,070,769.50

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Solution

The third proportional to 969,412.50 and 2,070,769.50 is: 4,423,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,412.50 : 2,070,769.50 = 2,070,769.50 : x
  2. Step 2: Convert to fraction form
    969,412.50/2,070,769.50 = 2,070,769.50/x
  3. Step 3: Cross multiply
    969,412.50x = 2,070,769.50 × 2,070,769.50
  4. Step 4: Simplify right side
    969,412.50x = 4,288,086,322,130.25
  5. Step 5: Solve for x
    x = 4,288,086,322,130.25/969,412.50
  6. Step 6: Final answer
    x = 4,423,386.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.