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Finding the Third Proportional to 4,209,438 and 6,156,693

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Solution

The third proportional to 4,209,438 and 6,156,693 is: 9,004,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,438 : 6,156,693 = 6,156,693 : x
  2. Step 2: Convert to fraction form
    4,209,438/6,156,693 = 6,156,693/x
  3. Step 3: Cross multiply
    4,209,438x = 6,156,693 × 6,156,693
  4. Step 4: Simplify right side
    4,209,438x = 37,904,868,696,249
  5. Step 5: Solve for x
    x = 37,904,868,696,249/4,209,438
  6. Step 6: Final answer
    x = 9,004,733.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.