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Finding the Third Proportional to 2,138,008.50 and 4,610,202

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Solution

The third proportional to 2,138,008.50 and 4,610,202 is: 9,941,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,008.50 : 4,610,202 = 4,610,202 : x
  2. Step 2: Convert to fraction form
    2,138,008.50/4,610,202 = 4,610,202/x
  3. Step 3: Cross multiply
    2,138,008.50x = 4,610,202 × 4,610,202
  4. Step 4: Simplify right side
    2,138,008.50x = 21,253,962,480,804
  5. Step 5: Solve for x
    x = 21,253,962,480,804/2,138,008.50
  6. Step 6: Final answer
    x = 9,941,009.35

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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.