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Finding the Third Proportional to 2,796,470 and 6,126,498

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Solution

The third proportional to 2,796,470 and 6,126,498 is: 13,421,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796,470 : 6,126,498 = 6,126,498 : x
  2. Step 2: Convert to fraction form
    2,796,470/6,126,498 = 6,126,498/x
  3. Step 3: Cross multiply
    2,796,470x = 6,126,498 × 6,126,498
  4. Step 4: Simplify right side
    2,796,470x = 37,533,977,744,004
  5. Step 5: Solve for x
    x = 37,533,977,744,004/2,796,470
  6. Step 6: Final answer
    x = 13,421,913.25

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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.