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Finding the Third Proportional to 891,537 and 1,738,402

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Solution

The third proportional to 891,537 and 1,738,402 is: 3,389,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,537 : 1,738,402 = 1,738,402 : x
  2. Step 2: Convert to fraction form
    891,537/1,738,402 = 1,738,402/x
  3. Step 3: Cross multiply
    891,537x = 1,738,402 × 1,738,402
  4. Step 4: Simplify right side
    891,537x = 3,022,041,513,604
  5. Step 5: Solve for x
    x = 3,022,041,513,604/891,537
  6. Step 6: Final answer
    x = 3,389,698.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.