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Finding the Third Proportional to 2,913,524 and 4,570,464

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Solution

The third proportional to 2,913,524 and 4,570,464 is: 7,169,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,524 : 4,570,464 = 4,570,464 : x
  2. Step 2: Convert to fraction form
    2,913,524/4,570,464 = 4,570,464/x
  3. Step 3: Cross multiply
    2,913,524x = 4,570,464 × 4,570,464
  4. Step 4: Simplify right side
    2,913,524x = 20,889,141,175,296
  5. Step 5: Solve for x
    x = 20,889,141,175,296/2,913,524
  6. Step 6: Final answer
    x = 7,169,716.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.