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Finding the Third Proportional to 1,953,720 and 4,165,506

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Solution

The third proportional to 1,953,720 and 4,165,506 is: 8,881,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,720 : 4,165,506 = 4,165,506 : x
  2. Step 2: Convert to fraction form
    1,953,720/4,165,506 = 4,165,506/x
  3. Step 3: Cross multiply
    1,953,720x = 4,165,506 × 4,165,506
  4. Step 4: Simplify right side
    1,953,720x = 17,351,440,236,036
  5. Step 5: Solve for x
    x = 17,351,440,236,036/1,953,720
  6. Step 6: Final answer
    x = 8,881,231.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.