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Finding the Third Proportional to 2,645,559 and 3,866,258.25

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Solution

The third proportional to 2,645,559 and 3,866,258.25 is: 5,650,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,559 : 3,866,258.25 = 3,866,258.25 : x
  2. Step 2: Convert to fraction form
    2,645,559/3,866,258.25 = 3,866,258.25/x
  3. Step 3: Cross multiply
    2,645,559x = 3,866,258.25 × 3,866,258.25
  4. Step 4: Simplify right side
    2,645,559x = 14,947,952,855,693.06
  5. Step 5: Solve for x
    x = 14,947,952,855,693.06/2,645,559
  6. Step 6: Final answer
    x = 5,650,205.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.