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Finding the Third Proportional to 912,946 and 1,424,690

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Solution

The third proportional to 912,946 and 1,424,690 is: 2,223,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,946 : 1,424,690 = 1,424,690 : x
  2. Step 2: Convert to fraction form
    912,946/1,424,690 = 1,424,690/x
  3. Step 3: Cross multiply
    912,946x = 1,424,690 × 1,424,690
  4. Step 4: Simplify right side
    912,946x = 2,029,741,596,100
  5. Step 5: Solve for x
    x = 2,029,741,596,100/912,946
  6. Step 6: Final answer
    x = 2,223,287.68

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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.