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Finding the Third Proportional to 3,494,720 and 7,475,206

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Solution

The third proportional to 3,494,720 and 7,475,206 is: 15,989,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,720 : 7,475,206 = 7,475,206 : x
  2. Step 2: Convert to fraction form
    3,494,720/7,475,206 = 7,475,206/x
  3. Step 3: Cross multiply
    3,494,720x = 7,475,206 × 7,475,206
  4. Step 4: Simplify right side
    3,494,720x = 55,878,704,742,436
  5. Step 5: Solve for x
    x = 55,878,704,742,436/3,494,720
  6. Step 6: Final answer
    x = 15,989,465.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.