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Finding the Third Proportional to 996,970 and 2,174,390

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Solution

The third proportional to 996,970 and 2,174,390 is: 4,742,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,970 : 2,174,390 = 2,174,390 : x
  2. Step 2: Convert to fraction form
    996,970/2,174,390 = 2,174,390/x
  3. Step 3: Cross multiply
    996,970x = 2,174,390 × 2,174,390
  4. Step 4: Simplify right side
    996,970x = 4,727,971,872,100
  5. Step 5: Solve for x
    x = 4,727,971,872,100/996,970
  6. Step 6: Final answer
    x = 4,742,341.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.