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Finding the Third Proportional to 595,498 and 1,295,963

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Solution

The third proportional to 595,498 and 1,295,963 is: 2,820,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,498 : 1,295,963 = 1,295,963 : x
  2. Step 2: Convert to fraction form
    595,498/1,295,963 = 1,295,963/x
  3. Step 3: Cross multiply
    595,498x = 1,295,963 × 1,295,963
  4. Step 4: Simplify right side
    595,498x = 1,679,520,097,369
  5. Step 5: Solve for x
    x = 1,679,520,097,369/595,498
  6. Step 6: Final answer
    x = 2,820,362.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.