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Finding the Third Proportional to 1,032,285 and 2,429,043

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Solution

The third proportional to 1,032,285 and 2,429,043 is: 5,715,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,285 : 2,429,043 = 2,429,043 : x
  2. Step 2: Convert to fraction form
    1,032,285/2,429,043 = 2,429,043/x
  3. Step 3: Cross multiply
    1,032,285x = 2,429,043 × 2,429,043
  4. Step 4: Simplify right side
    1,032,285x = 5,900,249,895,849
  5. Step 5: Solve for x
    x = 5,900,249,895,849/1,032,285
  6. Step 6: Final answer
    x = 5,715,717.94

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.