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Finding the Third Proportional to 3,069,108 and 4,646,306

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Solution

The third proportional to 3,069,108 and 4,646,306 is: 7,034,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,108 : 4,646,306 = 4,646,306 : x
  2. Step 2: Convert to fraction form
    3,069,108/4,646,306 = 4,646,306/x
  3. Step 3: Cross multiply
    3,069,108x = 4,646,306 × 4,646,306
  4. Step 4: Simplify right side
    3,069,108x = 21,588,159,445,636
  5. Step 5: Solve for x
    x = 21,588,159,445,636/3,069,108
  6. Step 6: Final answer
    x = 7,034,017.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.