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Finding the Third Proportional to 2,102,361 and 4,496,237

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Solution

The third proportional to 2,102,361 and 4,496,237 is: 9,615,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,361 : 4,496,237 = 4,496,237 : x
  2. Step 2: Convert to fraction form
    2,102,361/4,496,237 = 4,496,237/x
  3. Step 3: Cross multiply
    2,102,361x = 4,496,237 × 4,496,237
  4. Step 4: Simplify right side
    2,102,361x = 20,216,147,160,169
  5. Step 5: Solve for x
    x = 20,216,147,160,169/2,102,361
  6. Step 6: Final answer
    x = 9,615,925.70

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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.