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Finding the Third Proportional to 595,457 and 1,267,725

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Solution

The third proportional to 595,457 and 1,267,725 is: 2,698,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,457 : 1,267,725 = 1,267,725 : x
  2. Step 2: Convert to fraction form
    595,457/1,267,725 = 1,267,725/x
  3. Step 3: Cross multiply
    595,457x = 1,267,725 × 1,267,725
  4. Step 4: Simplify right side
    595,457x = 1,607,126,675,625
  5. Step 5: Solve for x
    x = 1,607,126,675,625/595,457
  6. Step 6: Final answer
    x = 2,698,980.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.