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Finding the Third Proportional to 669,948 and 1,460,353

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Solution

The third proportional to 669,948 and 1,460,353 is: 3,183,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,948 : 1,460,353 = 1,460,353 : x
  2. Step 2: Convert to fraction form
    669,948/1,460,353 = 1,460,353/x
  3. Step 3: Cross multiply
    669,948x = 1,460,353 × 1,460,353
  4. Step 4: Simplify right side
    669,948x = 2,132,630,884,609
  5. Step 5: Solve for x
    x = 2,132,630,884,609/669,948
  6. Step 6: Final answer
    x = 3,183,278.23

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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.