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Finding the Third Proportional to 1,733,125 and 3,740,272

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Solution

The third proportional to 1,733,125 and 3,740,272 is: 8,071,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,125 : 3,740,272 = 3,740,272 : x
  2. Step 2: Convert to fraction form
    1,733,125/3,740,272 = 3,740,272/x
  3. Step 3: Cross multiply
    1,733,125x = 3,740,272 × 3,740,272
  4. Step 4: Simplify right side
    1,733,125x = 13,989,634,633,984
  5. Step 5: Solve for x
    x = 13,989,634,633,984/1,733,125
  6. Step 6: Final answer
    x = 8,071,913.24

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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.