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Finding the Third Proportional to 1,164,894 and 2,491,710

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Solution

The third proportional to 1,164,894 and 2,491,710 is: 5,329,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,894 : 2,491,710 = 2,491,710 : x
  2. Step 2: Convert to fraction form
    1,164,894/2,491,710 = 2,491,710/x
  3. Step 3: Cross multiply
    1,164,894x = 2,491,710 × 2,491,710
  4. Step 4: Simplify right side
    1,164,894x = 6,208,618,724,100
  5. Step 5: Solve for x
    x = 6,208,618,724,100/1,164,894
  6. Step 6: Final answer
    x = 5,329,771.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.