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Finding the Third Proportional to 552,784 and 1,171,998

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Solution

The third proportional to 552,784 and 1,171,998 is: 2,484,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,784 : 1,171,998 = 1,171,998 : x
  2. Step 2: Convert to fraction form
    552,784/1,171,998 = 1,171,998/x
  3. Step 3: Cross multiply
    552,784x = 1,171,998 × 1,171,998
  4. Step 4: Simplify right side
    552,784x = 1,373,579,312,004
  5. Step 5: Solve for x
    x = 1,373,579,312,004/552,784
  6. Step 6: Final answer
    x = 2,484,839.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.