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Finding the Third Proportional to 617,677 and 1,333,768

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Solution

The third proportional to 617,677 and 1,333,768 is: 2,880,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,677 : 1,333,768 = 1,333,768 : x
  2. Step 2: Convert to fraction form
    617,677/1,333,768 = 1,333,768/x
  3. Step 3: Cross multiply
    617,677x = 1,333,768 × 1,333,768
  4. Step 4: Simplify right side
    617,677x = 1,778,937,077,824
  5. Step 5: Solve for x
    x = 1,778,937,077,824/617,677
  6. Step 6: Final answer
    x = 2,880,044.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.