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Finding the Third Proportional to 2,989,098 and 4,194,295

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Solution

The third proportional to 2,989,098 and 4,194,295 is: 5,885,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,098 : 4,194,295 = 4,194,295 : x
  2. Step 2: Convert to fraction form
    2,989,098/4,194,295 = 4,194,295/x
  3. Step 3: Cross multiply
    2,989,098x = 4,194,295 × 4,194,295
  4. Step 4: Simplify right side
    2,989,098x = 17,592,110,547,025
  5. Step 5: Solve for x
    x = 17,592,110,547,025/2,989,098
  6. Step 6: Final answer
    x = 5,885,424.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.