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Finding the Third Proportional to 3,434,004 and 6,781,528

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Solution

The third proportional to 3,434,004 and 6,781,528 is: 13,392,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,004 : 6,781,528 = 6,781,528 : x
  2. Step 2: Convert to fraction form
    3,434,004/6,781,528 = 6,781,528/x
  3. Step 3: Cross multiply
    3,434,004x = 6,781,528 × 6,781,528
  4. Step 4: Simplify right side
    3,434,004x = 45,989,122,014,784
  5. Step 5: Solve for x
    x = 45,989,122,014,784/3,434,004
  6. Step 6: Final answer
    x = 13,392,273.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.