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Finding the Third Proportional to 1,045,844 and 2,217,258

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Solution

The third proportional to 1,045,844 and 2,217,258 is: 4,700,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,844 : 2,217,258 = 2,217,258 : x
  2. Step 2: Convert to fraction form
    1,045,844/2,217,258 = 2,217,258/x
  3. Step 3: Cross multiply
    1,045,844x = 2,217,258 × 2,217,258
  4. Step 4: Simplify right side
    1,045,844x = 4,916,233,038,564
  5. Step 5: Solve for x
    x = 4,916,233,038,564/1,045,844
  6. Step 6: Final answer
    x = 4,700,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.