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Finding the Third Proportional to 738,106 and 1,103,313

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Solution

The third proportional to 738,106 and 1,103,313 is: 1,649,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,106 : 1,103,313 = 1,103,313 : x
  2. Step 2: Convert to fraction form
    738,106/1,103,313 = 1,103,313/x
  3. Step 3: Cross multiply
    738,106x = 1,103,313 × 1,103,313
  4. Step 4: Simplify right side
    738,106x = 1,217,299,575,969
  5. Step 5: Solve for x
    x = 1,217,299,575,969/738,106
  6. Step 6: Final answer
    x = 1,649,220.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.