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Finding the Third Proportional to 508,745 and 1,106,065

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Solution

The third proportional to 508,745 and 1,106,065 is: 2,404,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,745 : 1,106,065 = 1,106,065 : x
  2. Step 2: Convert to fraction form
    508,745/1,106,065 = 1,106,065/x
  3. Step 3: Cross multiply
    508,745x = 1,106,065 × 1,106,065
  4. Step 4: Simplify right side
    508,745x = 1,223,379,784,225
  5. Step 5: Solve for x
    x = 1,223,379,784,225/508,745
  6. Step 6: Final answer
    x = 2,404,701.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.