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Finding the Third Proportional to 1,342,827 and 2,617,128

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Solution

The third proportional to 1,342,827 and 2,617,128 is: 5,100,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,827 : 2,617,128 = 2,617,128 : x
  2. Step 2: Convert to fraction form
    1,342,827/2,617,128 = 2,617,128/x
  3. Step 3: Cross multiply
    1,342,827x = 2,617,128 × 2,617,128
  4. Step 4: Simplify right side
    1,342,827x = 6,849,358,968,384
  5. Step 5: Solve for x
    x = 6,849,358,968,384/1,342,827
  6. Step 6: Final answer
    x = 5,100,700.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.