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Finding the Third Proportional to 1,181,914 and 1,730,947

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Solution

The third proportional to 1,181,914 and 1,730,947 is: 2,535,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,914 : 1,730,947 = 1,730,947 : x
  2. Step 2: Convert to fraction form
    1,181,914/1,730,947 = 1,730,947/x
  3. Step 3: Cross multiply
    1,181,914x = 1,730,947 × 1,730,947
  4. Step 4: Simplify right side
    1,181,914x = 2,996,177,516,809
  5. Step 5: Solve for x
    x = 2,996,177,516,809/1,181,914
  6. Step 6: Final answer
    x = 2,535,021.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.