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Finding the Third Proportional to 3,830,020.50 and 5,938,459

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Solution

The third proportional to 3,830,020.50 and 5,938,459 is: 9,207,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,020.50 : 5,938,459 = 5,938,459 : x
  2. Step 2: Convert to fraction form
    3,830,020.50/5,938,459 = 5,938,459/x
  3. Step 3: Cross multiply
    3,830,020.50x = 5,938,459 × 5,938,459
  4. Step 4: Simplify right side
    3,830,020.50x = 35,265,295,294,681
  5. Step 5: Solve for x
    x = 35,265,295,294,681/3,830,020.50
  6. Step 6: Final answer
    x = 9,207,599.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.