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Finding the Third Proportional to 1,546,306 and 3,136,324

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Solution

The third proportional to 1,546,306 and 3,136,324 is: 6,361,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,306 : 3,136,324 = 3,136,324 : x
  2. Step 2: Convert to fraction form
    1,546,306/3,136,324 = 3,136,324/x
  3. Step 3: Cross multiply
    1,546,306x = 3,136,324 × 3,136,324
  4. Step 4: Simplify right side
    1,546,306x = 9,836,528,232,976
  5. Step 5: Solve for x
    x = 9,836,528,232,976/1,546,306
  6. Step 6: Final answer
    x = 6,361,307.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.