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Finding the Third Proportional to 736,278 and 1,036,593

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Solution

The third proportional to 736,278 and 1,036,593 is: 1,459,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,278 : 1,036,593 = 1,036,593 : x
  2. Step 2: Convert to fraction form
    736,278/1,036,593 = 1,036,593/x
  3. Step 3: Cross multiply
    736,278x = 1,036,593 × 1,036,593
  4. Step 4: Simplify right side
    736,278x = 1,074,525,047,649
  5. Step 5: Solve for x
    x = 1,074,525,047,649/736,278
  6. Step 6: Final answer
    x = 1,459,401.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.