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Finding the Third Proportional to 2,257,428 and 4,821,008

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Solution

The third proportional to 2,257,428 and 4,821,008 is: 10,295,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,428 : 4,821,008 = 4,821,008 : x
  2. Step 2: Convert to fraction form
    2,257,428/4,821,008 = 4,821,008/x
  3. Step 3: Cross multiply
    2,257,428x = 4,821,008 × 4,821,008
  4. Step 4: Simplify right side
    2,257,428x = 23,242,118,136,064
  5. Step 5: Solve for x
    x = 23,242,118,136,064/2,257,428
  6. Step 6: Final answer
    x = 10,295,840.28

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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.