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Finding the Third Proportional to 4,133,430 and 6,517,017

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Solution

The third proportional to 4,133,430 and 6,517,017 is: 10,275,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133,430 : 6,517,017 = 6,517,017 : x
  2. Step 2: Convert to fraction form
    4,133,430/6,517,017 = 6,517,017/x
  3. Step 3: Cross multiply
    4,133,430x = 6,517,017 × 6,517,017
  4. Step 4: Simplify right side
    4,133,430x = 42,471,510,578,289
  5. Step 5: Solve for x
    x = 42,471,510,578,289/4,133,430
  6. Step 6: Final answer
    x = 10,275,125.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.