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Finding the Third Proportional to 2,298,658.25 and 4,877,509.75

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Solution

The third proportional to 2,298,658.25 and 4,877,509.75 is: 10,349,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,658.25 : 4,877,509.75 = 4,877,509.75 : x
  2. Step 2: Convert to fraction form
    2,298,658.25/4,877,509.75 = 4,877,509.75/x
  3. Step 3: Cross multiply
    2,298,658.25x = 4,877,509.75 × 4,877,509.75
  4. Step 4: Simplify right side
    2,298,658.25x = 23,790,101,361,345.06
  5. Step 5: Solve for x
    x = 23,790,101,361,345.06/2,298,658.25
  6. Step 6: Final answer
    x = 10,349,559.95

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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.