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Finding the Third Proportional to 1,471,420.69 and 1,977,359.34

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Solution

The third proportional to 1,471,420.69 and 1,977,359.34 is: 2,657,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,420.69 : 1,977,359.34 = 1,977,359.34 : x
  2. Step 2: Convert to fraction form
    1,471,420.69/1,977,359.34 = 1,977,359.34/x
  3. Step 3: Cross multiply
    1,471,420.69x = 1,977,359.34 × 1,977,359.34
  4. Step 4: Simplify right side
    1,471,420.69x = 3,909,949,974,315.43
  5. Step 5: Solve for x
    x = 3,909,949,974,315.43/1,471,420.69
  6. Step 6: Final answer
    x = 2,657,261.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.