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Finding the Third Proportional to 996,971 and 2,174,392

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Solution

The third proportional to 996,971 and 2,174,392 is: 4,742,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,971 : 2,174,392 = 2,174,392 : x
  2. Step 2: Convert to fraction form
    996,971/2,174,392 = 2,174,392/x
  3. Step 3: Cross multiply
    996,971x = 2,174,392 × 2,174,392
  4. Step 4: Simplify right side
    996,971x = 4,727,980,569,664
  5. Step 5: Solve for x
    x = 4,727,980,569,664/996,971
  6. Step 6: Final answer
    x = 4,742,345.13

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Why These Related Problems?

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