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Finding the Third Proportional to 445,038 and 926,892

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Solution

The third proportional to 445,038 and 926,892 is: 1,930,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,038 : 926,892 = 926,892 : x
  2. Step 2: Convert to fraction form
    445,038/926,892 = 926,892/x
  3. Step 3: Cross multiply
    445,038x = 926,892 × 926,892
  4. Step 4: Simplify right side
    445,038x = 859,128,779,664
  5. Step 5: Solve for x
    x = 859,128,779,664/445,038
  6. Step 6: Final answer
    x = 1,930,461.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.