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Finding the Third Proportional to 2,038,704 and 2,851,464

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Solution

The third proportional to 2,038,704 and 2,851,464 is: 3,988,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,704 : 2,851,464 = 2,851,464 : x
  2. Step 2: Convert to fraction form
    2,038,704/2,851,464 = 2,851,464/x
  3. Step 3: Cross multiply
    2,038,704x = 2,851,464 × 2,851,464
  4. Step 4: Simplify right side
    2,038,704x = 8,130,846,943,296
  5. Step 5: Solve for x
    x = 8,130,846,943,296/2,038,704
  6. Step 6: Final answer
    x = 3,988,242.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.