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Finding the Third Proportional to 763,397 and 1,036,777

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Solution

The third proportional to 763,397 and 1,036,777 is: 1,408,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,397 : 1,036,777 = 1,036,777 : x
  2. Step 2: Convert to fraction form
    763,397/1,036,777 = 1,036,777/x
  3. Step 3: Cross multiply
    763,397x = 1,036,777 × 1,036,777
  4. Step 4: Simplify right side
    763,397x = 1,074,906,547,729
  5. Step 5: Solve for x
    x = 1,074,906,547,729/763,397
  6. Step 6: Final answer
    x = 1,408,057.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.