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Finding the Third Proportional to 2,130,686 and 4,577,596

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Solution

The third proportional to 2,130,686 and 4,577,596 is: 9,834,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,686 : 4,577,596 = 4,577,596 : x
  2. Step 2: Convert to fraction form
    2,130,686/4,577,596 = 4,577,596/x
  3. Step 3: Cross multiply
    2,130,686x = 4,577,596 × 4,577,596
  4. Step 4: Simplify right side
    2,130,686x = 20,954,385,139,216
  5. Step 5: Solve for x
    x = 20,954,385,139,216/2,130,686
  6. Step 6: Final answer
    x = 9,834,572.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.