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Finding the Third Proportional to 1,789,485.75 and 2,710,276.88

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Solution

The third proportional to 1,789,485.75 and 2,710,276.88 is: 4,104,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,485.75 : 2,710,276.88 = 2,710,276.88 : x
  2. Step 2: Convert to fraction form
    1,789,485.75/2,710,276.88 = 2,710,276.88/x
  3. Step 3: Cross multiply
    1,789,485.75x = 2,710,276.88 × 2,710,276.88
  4. Step 4: Simplify right side
    1,789,485.75x = 7,345,600,739,159.77
  5. Step 5: Solve for x
    x = 7,345,600,739,159.77/1,789,485.75
  6. Step 6: Final answer
    x = 4,104,866.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.