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Finding the Third Proportional to 2,298,666 and 4,877,524

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Solution

The third proportional to 2,298,666 and 4,877,524 is: 10,349,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,666 : 4,877,524 = 4,877,524 : x
  2. Step 2: Convert to fraction form
    2,298,666/4,877,524 = 4,877,524/x
  3. Step 3: Cross multiply
    2,298,666x = 4,877,524 × 4,877,524
  4. Step 4: Simplify right side
    2,298,666x = 23,790,240,370,576
  5. Step 5: Solve for x
    x = 23,790,240,370,576/2,298,666
  6. Step 6: Final answer
    x = 10,349,585.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.