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Finding the Third Proportional to 1,047,307 and 1,638,353

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Solution

The third proportional to 1,047,307 and 1,638,353 is: 2,562,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,307 : 1,638,353 = 1,638,353 : x
  2. Step 2: Convert to fraction form
    1,047,307/1,638,353 = 1,638,353/x
  3. Step 3: Cross multiply
    1,047,307x = 1,638,353 × 1,638,353
  4. Step 4: Simplify right side
    1,047,307x = 2,684,200,552,609
  5. Step 5: Solve for x
    x = 2,684,200,552,609/1,047,307
  6. Step 6: Final answer
    x = 2,562,954.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.