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Finding the Third Proportional to 1,032,900 and 1,595,448

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Solution

The third proportional to 1,032,900 and 1,595,448 is: 2,464,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,900 : 1,595,448 = 1,595,448 : x
  2. Step 2: Convert to fraction form
    1,032,900/1,595,448 = 1,595,448/x
  3. Step 3: Cross multiply
    1,032,900x = 1,595,448 × 1,595,448
  4. Step 4: Simplify right side
    1,032,900x = 2,545,454,320,704
  5. Step 5: Solve for x
    x = 2,545,454,320,704/1,032,900
  6. Step 6: Final answer
    x = 2,464,376.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.