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Finding the Third Proportional to 1,197,194 and 2,584,300

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Solution

The third proportional to 1,197,194 and 2,584,300 is: 5,578,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,194 : 2,584,300 = 2,584,300 : x
  2. Step 2: Convert to fraction form
    1,197,194/2,584,300 = 2,584,300/x
  3. Step 3: Cross multiply
    1,197,194x = 2,584,300 × 2,584,300
  4. Step 4: Simplify right side
    1,197,194x = 6,678,606,490,000
  5. Step 5: Solve for x
    x = 6,678,606,490,000/1,197,194
  6. Step 6: Final answer
    x = 5,578,549.92

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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.