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Finding the Third Proportional to 2,160,588 and 4,656,120

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Solution

The third proportional to 2,160,588 and 4,656,120 is: 10,034,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,588 : 4,656,120 = 4,656,120 : x
  2. Step 2: Convert to fraction form
    2,160,588/4,656,120 = 4,656,120/x
  3. Step 3: Cross multiply
    2,160,588x = 4,656,120 × 4,656,120
  4. Step 4: Simplify right side
    2,160,588x = 21,679,453,454,400
  5. Step 5: Solve for x
    x = 21,679,453,454,400/2,160,588
  6. Step 6: Final answer
    x = 10,034,052.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.