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Finding the Third Proportional to 2,272,490 and 4,864,191

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Solution

The third proportional to 2,272,490 and 4,864,191 is: 10,411,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,490 : 4,864,191 = 4,864,191 : x
  2. Step 2: Convert to fraction form
    2,272,490/4,864,191 = 4,864,191/x
  3. Step 3: Cross multiply
    2,272,490x = 4,864,191 × 4,864,191
  4. Step 4: Simplify right side
    2,272,490x = 23,660,354,084,481
  5. Step 5: Solve for x
    x = 23,660,354,084,481/2,272,490
  6. Step 6: Final answer
    x = 10,411,642.77

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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.