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Finding the Third Proportional to 751,926 and 1,623,713

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Solution

The third proportional to 751,926 and 1,623,713 is: 3,506,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,926 : 1,623,713 = 1,623,713 : x
  2. Step 2: Convert to fraction form
    751,926/1,623,713 = 1,623,713/x
  3. Step 3: Cross multiply
    751,926x = 1,623,713 × 1,623,713
  4. Step 4: Simplify right side
    751,926x = 2,636,443,906,369
  5. Step 5: Solve for x
    x = 2,636,443,906,369/751,926
  6. Step 6: Final answer
    x = 3,506,254.48

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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.