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Finding the Third Proportional to 3,497,684 and 5,146,502

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Solution

The third proportional to 3,497,684 and 5,146,502 is: 7,572,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,684 : 5,146,502 = 5,146,502 : x
  2. Step 2: Convert to fraction form
    3,497,684/5,146,502 = 5,146,502/x
  3. Step 3: Cross multiply
    3,497,684x = 5,146,502 × 5,146,502
  4. Step 4: Simplify right side
    3,497,684x = 26,486,482,836,004
  5. Step 5: Solve for x
    x = 26,486,482,836,004/3,497,684
  6. Step 6: Final answer
    x = 7,572,577.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.