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Finding the Third Proportional to 1,275,376 and 1,953,240

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Solution

The third proportional to 1,275,376 and 1,953,240 is: 2,991,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,376 : 1,953,240 = 1,953,240 : x
  2. Step 2: Convert to fraction form
    1,275,376/1,953,240 = 1,953,240/x
  3. Step 3: Cross multiply
    1,275,376x = 1,953,240 × 1,953,240
  4. Step 4: Simplify right side
    1,275,376x = 3,815,146,497,600
  5. Step 5: Solve for x
    x = 3,815,146,497,600/1,275,376
  6. Step 6: Final answer
    x = 2,991,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.