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Finding the Third Proportional to 3,905,270 and 6,046,347

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Solution

The third proportional to 3,905,270 and 6,046,347 is: 9,361,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905,270 : 6,046,347 = 6,046,347 : x
  2. Step 2: Convert to fraction form
    3,905,270/6,046,347 = 6,046,347/x
  3. Step 3: Cross multiply
    3,905,270x = 6,046,347 × 6,046,347
  4. Step 4: Simplify right side
    3,905,270x = 36,558,312,044,409
  5. Step 5: Solve for x
    x = 36,558,312,044,409/3,905,270
  6. Step 6: Final answer
    x = 9,361,276.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.