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Finding the Third Proportional to 1,712,150 and 3,615,175

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Solution

The third proportional to 1,712,150 and 3,615,175 is: 7,633,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712,150 : 3,615,175 = 3,615,175 : x
  2. Step 2: Convert to fraction form
    1,712,150/3,615,175 = 3,615,175/x
  3. Step 3: Cross multiply
    1,712,150x = 3,615,175 × 3,615,175
  4. Step 4: Simplify right side
    1,712,150x = 13,069,490,280,625
  5. Step 5: Solve for x
    x = 13,069,490,280,625/1,712,150
  6. Step 6: Final answer
    x = 7,633,379.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.