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Finding the Third Proportional to 1,197,076 and 2,584,069

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Solution

The third proportional to 1,197,076 and 2,584,069 is: 5,578,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,076 : 2,584,069 = 2,584,069 : x
  2. Step 2: Convert to fraction form
    1,197,076/2,584,069 = 2,584,069/x
  3. Step 3: Cross multiply
    1,197,076x = 2,584,069 × 2,584,069
  4. Step 4: Simplify right side
    1,197,076x = 6,677,412,596,761
  5. Step 5: Solve for x
    x = 6,677,412,596,761/1,197,076
  6. Step 6: Final answer
    x = 5,578,102.47

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Why These Related Problems?

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