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Finding the Third Proportional to 1,740,576 and 2,535,120

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Solution

The third proportional to 1,740,576 and 2,535,120 is: 3,692,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,576 : 2,535,120 = 2,535,120 : x
  2. Step 2: Convert to fraction form
    1,740,576/2,535,120 = 2,535,120/x
  3. Step 3: Cross multiply
    1,740,576x = 2,535,120 × 2,535,120
  4. Step 4: Simplify right side
    1,740,576x = 6,426,833,414,400
  5. Step 5: Solve for x
    x = 6,426,833,414,400/1,740,576
  6. Step 6: Final answer
    x = 3,692,360.12

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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.