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Finding the Third Proportional to 2,929,614 and 6,417,786

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Solution

The third proportional to 2,929,614 and 6,417,786 is: 14,059,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,614 : 6,417,786 = 6,417,786 : x
  2. Step 2: Convert to fraction form
    2,929,614/6,417,786 = 6,417,786/x
  3. Step 3: Cross multiply
    2,929,614x = 6,417,786 × 6,417,786
  4. Step 4: Simplify right side
    2,929,614x = 41,187,977,141,796
  5. Step 5: Solve for x
    x = 41,187,977,141,796/2,929,614
  6. Step 6: Final answer
    x = 14,059,182.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.