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Finding the Third Proportional to 1,984,196.50 and 4,306,649

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Solution

The third proportional to 1,984,196.50 and 4,306,649 is: 9,347,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,196.50 : 4,306,649 = 4,306,649 : x
  2. Step 2: Convert to fraction form
    1,984,196.50/4,306,649 = 4,306,649/x
  3. Step 3: Cross multiply
    1,984,196.50x = 4,306,649 × 4,306,649
  4. Step 4: Simplify right side
    1,984,196.50x = 18,547,225,609,201
  5. Step 5: Solve for x
    x = 18,547,225,609,201/1,984,196.50
  6. Step 6: Final answer
    x = 9,347,474.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.