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Finding the Third Proportional to 2,307,856 and 5,022,090

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Solution

The third proportional to 2,307,856 and 5,022,090 is: 10,928,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,856 : 5,022,090 = 5,022,090 : x
  2. Step 2: Convert to fraction form
    2,307,856/5,022,090 = 5,022,090/x
  3. Step 3: Cross multiply
    2,307,856x = 5,022,090 × 5,022,090
  4. Step 4: Simplify right side
    2,307,856x = 25,221,387,968,100
  5. Step 5: Solve for x
    x = 25,221,387,968,100/2,307,856
  6. Step 6: Final answer
    x = 10,928,492.93

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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.