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Finding the Third Proportional to 759,863 and 1,645,820

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Solution

The third proportional to 759,863 and 1,645,820 is: 3,564,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,863 : 1,645,820 = 1,645,820 : x
  2. Step 2: Convert to fraction form
    759,863/1,645,820 = 1,645,820/x
  3. Step 3: Cross multiply
    759,863x = 1,645,820 × 1,645,820
  4. Step 4: Simplify right side
    759,863x = 2,708,723,472,400
  5. Step 5: Solve for x
    x = 2,708,723,472,400/759,863
  6. Step 6: Final answer
    x = 3,564,752.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.