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Finding the Third Proportional to 2,414,148 and 5,292,552

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Solution

The third proportional to 2,414,148 and 5,292,552 is: 11,602,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,148 : 5,292,552 = 5,292,552 : x
  2. Step 2: Convert to fraction form
    2,414,148/5,292,552 = 5,292,552/x
  3. Step 3: Cross multiply
    2,414,148x = 5,292,552 × 5,292,552
  4. Step 4: Simplify right side
    2,414,148x = 28,011,106,672,704
  5. Step 5: Solve for x
    x = 28,011,106,672,704/2,414,148
  6. Step 6: Final answer
    x = 11,602,895.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.