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Finding the Third Proportional to 3,019,657 and 4,573,464

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Solution

The third proportional to 3,019,657 and 4,573,464 is: 6,926,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019,657 : 4,573,464 = 4,573,464 : x
  2. Step 2: Convert to fraction form
    3,019,657/4,573,464 = 4,573,464/x
  3. Step 3: Cross multiply
    3,019,657x = 4,573,464 × 4,573,464
  4. Step 4: Simplify right side
    3,019,657x = 20,916,572,959,296
  5. Step 5: Solve for x
    x = 20,916,572,959,296/3,019,657
  6. Step 6: Final answer
    x = 6,926,804.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.