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Finding the Third Proportional to 759,520 and 1,639,128

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Solution

The third proportional to 759,520 and 1,639,128 is: 3,537,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,520 : 1,639,128 = 1,639,128 : x
  2. Step 2: Convert to fraction form
    759,520/1,639,128 = 1,639,128/x
  3. Step 3: Cross multiply
    759,520x = 1,639,128 × 1,639,128
  4. Step 4: Simplify right side
    759,520x = 2,686,740,600,384
  5. Step 5: Solve for x
    x = 2,686,740,600,384/759,520
  6. Step 6: Final answer
    x = 3,537,419.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.