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Finding the Third Proportional to 475,152 and 1,033,957

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Solution

The third proportional to 475,152 and 1,033,957 is: 2,249,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,152 : 1,033,957 = 1,033,957 : x
  2. Step 2: Convert to fraction form
    475,152/1,033,957 = 1,033,957/x
  3. Step 3: Cross multiply
    475,152x = 1,033,957 × 1,033,957
  4. Step 4: Simplify right side
    475,152x = 1,069,067,077,849
  5. Step 5: Solve for x
    x = 1,069,067,077,849/475,152
  6. Step 6: Final answer
    x = 2,249,947.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.