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Finding the Third Proportional to 909,378 and 1,358,451

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Solution

The third proportional to 909,378 and 1,358,451 is: 2,029,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,378 : 1,358,451 = 1,358,451 : x
  2. Step 2: Convert to fraction form
    909,378/1,358,451 = 1,358,451/x
  3. Step 3: Cross multiply
    909,378x = 1,358,451 × 1,358,451
  4. Step 4: Simplify right side
    909,378x = 1,845,389,119,401
  5. Step 5: Solve for x
    x = 1,845,389,119,401/909,378
  6. Step 6: Final answer
    x = 2,029,287.18

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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.