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Finding the Third Proportional to 3,830,025 and 5,938,465

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Solution

The third proportional to 3,830,025 and 5,938,465 is: 9,207,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,025 : 5,938,465 = 5,938,465 : x
  2. Step 2: Convert to fraction form
    3,830,025/5,938,465 = 5,938,465/x
  3. Step 3: Cross multiply
    3,830,025x = 5,938,465 × 5,938,465
  4. Step 4: Simplify right side
    3,830,025x = 35,265,366,556,225
  5. Step 5: Solve for x
    x = 35,265,366,556,225/3,830,025
  6. Step 6: Final answer
    x = 9,207,607.41

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