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Finding the Third Proportional to 997,056 and 2,174,562

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Solution

The third proportional to 997,056 and 2,174,562 is: 4,742,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,056 : 2,174,562 = 2,174,562 : x
  2. Step 2: Convert to fraction form
    997,056/2,174,562 = 2,174,562/x
  3. Step 3: Cross multiply
    997,056x = 2,174,562 × 2,174,562
  4. Step 4: Simplify right side
    997,056x = 4,728,719,891,844
  5. Step 5: Solve for x
    x = 4,728,719,891,844/997,056
  6. Step 6: Final answer
    x = 4,742,682.35

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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.