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Finding the Third Proportional to 669,942 and 1,460,142

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Solution

The third proportional to 669,942 and 1,460,142 is: 3,182,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,942 : 1,460,142 = 1,460,142 : x
  2. Step 2: Convert to fraction form
    669,942/1,460,142 = 1,460,142/x
  3. Step 3: Cross multiply
    669,942x = 1,460,142 × 1,460,142
  4. Step 4: Simplify right side
    669,942x = 2,132,014,660,164
  5. Step 5: Solve for x
    x = 2,132,014,660,164/669,942
  6. Step 6: Final answer
    x = 3,182,386.92

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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.