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Finding the Third Proportional to 482,332 and 1,047,698

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Solution

The third proportional to 482,332 and 1,047,698 is: 2,275,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,332 : 1,047,698 = 1,047,698 : x
  2. Step 2: Convert to fraction form
    482,332/1,047,698 = 1,047,698/x
  3. Step 3: Cross multiply
    482,332x = 1,047,698 × 1,047,698
  4. Step 4: Simplify right side
    482,332x = 1,097,671,099,204
  5. Step 5: Solve for x
    x = 1,097,671,099,204/482,332
  6. Step 6: Final answer
    x = 2,275,758.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.