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Finding the Third Proportional to 931,784 and 1,996,448

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Solution

The third proportional to 931,784 and 1,996,448 is: 4,277,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,784 : 1,996,448 = 1,996,448 : x
  2. Step 2: Convert to fraction form
    931,784/1,996,448 = 1,996,448/x
  3. Step 3: Cross multiply
    931,784x = 1,996,448 × 1,996,448
  4. Step 4: Simplify right side
    931,784x = 3,985,804,616,704
  5. Step 5: Solve for x
    x = 3,985,804,616,704/931,784
  6. Step 6: Final answer
    x = 4,277,605.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.