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Finding the Third Proportional to 791,416 and 1,866,364

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Solution

The third proportional to 791,416 and 1,866,364 is: 4,401,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,416 : 1,866,364 = 1,866,364 : x
  2. Step 2: Convert to fraction form
    791,416/1,866,364 = 1,866,364/x
  3. Step 3: Cross multiply
    791,416x = 1,866,364 × 1,866,364
  4. Step 4: Simplify right side
    791,416x = 3,483,314,580,496
  5. Step 5: Solve for x
    x = 3,483,314,580,496/791,416
  6. Step 6: Final answer
    x = 4,401,369.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.