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Finding the Third Proportional to 2,480,971.50 and 5,342,097

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Solution

The third proportional to 2,480,971.50 and 5,342,097 is: 11,502,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480,971.50 : 5,342,097 = 5,342,097 : x
  2. Step 2: Convert to fraction form
    2,480,971.50/5,342,097 = 5,342,097/x
  3. Step 3: Cross multiply
    2,480,971.50x = 5,342,097 × 5,342,097
  4. Step 4: Simplify right side
    2,480,971.50x = 28,538,000,357,409
  5. Step 5: Solve for x
    x = 28,538,000,357,409/2,480,971.50
  6. Step 6: Final answer
    x = 11,502,752.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.