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Finding the Third Proportional to 2,301,213 and 5,006,442

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Solution

The third proportional to 2,301,213 and 5,006,442 is: 10,891,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,213 : 5,006,442 = 5,006,442 : x
  2. Step 2: Convert to fraction form
    2,301,213/5,006,442 = 5,006,442/x
  3. Step 3: Cross multiply
    2,301,213x = 5,006,442 × 5,006,442
  4. Step 4: Simplify right side
    2,301,213x = 25,064,461,499,364
  5. Step 5: Solve for x
    x = 25,064,461,499,364/2,301,213
  6. Step 6: Final answer
    x = 10,891,847.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.