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Finding the Third Proportional to 3,430,522.13 and 4,573,401.75

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Solution

The third proportional to 3,430,522.13 and 4,573,401.75 is: 6,097,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,522.13 : 4,573,401.75 = 4,573,401.75 : x
  2. Step 2: Convert to fraction form
    3,430,522.13/4,573,401.75 = 4,573,401.75/x
  3. Step 3: Cross multiply
    3,430,522.13x = 4,573,401.75 × 4,573,401.75
  4. Step 4: Simplify right side
    3,430,522.13x = 20,916,003,566,903.06
  5. Step 5: Solve for x
    x = 20,916,003,566,903.06/3,430,522.13
  6. Step 6: Final answer
    x = 6,097,032.11

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.