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Finding the Third Proportional to 2,143,730 and 4,598,288

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Solution

The third proportional to 2,143,730 and 4,598,288 is: 9,863,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,730 : 4,598,288 = 4,598,288 : x
  2. Step 2: Convert to fraction form
    2,143,730/4,598,288 = 4,598,288/x
  3. Step 3: Cross multiply
    2,143,730x = 4,598,288 × 4,598,288
  4. Step 4: Simplify right side
    2,143,730x = 21,144,252,530,944
  5. Step 5: Solve for x
    x = 21,144,252,530,944/2,143,730
  6. Step 6: Final answer
    x = 9,863,300.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.