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Finding the Third Proportional to 2,960,712 and 6,341,004

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Solution

The third proportional to 2,960,712 and 6,341,004 is: 13,580,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,712 : 6,341,004 = 6,341,004 : x
  2. Step 2: Convert to fraction form
    2,960,712/6,341,004 = 6,341,004/x
  3. Step 3: Cross multiply
    2,960,712x = 6,341,004 × 6,341,004
  4. Step 4: Simplify right side
    2,960,712x = 40,208,331,728,016
  5. Step 5: Solve for x
    x = 40,208,331,728,016/2,960,712
  6. Step 6: Final answer
    x = 13,580,629.16

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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.