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Finding the Third Proportional to 2,796,457.50 and 6,126,471

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Solution

The third proportional to 2,796,457.50 and 6,126,471 is: 13,421,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796,457.50 : 6,126,471 = 6,126,471 : x
  2. Step 2: Convert to fraction form
    2,796,457.50/6,126,471 = 6,126,471/x
  3. Step 3: Cross multiply
    2,796,457.50x = 6,126,471 × 6,126,471
  4. Step 4: Simplify right side
    2,796,457.50x = 37,533,646,913,841
  5. Step 5: Solve for x
    x = 37,533,646,913,841/2,796,457.50
  6. Step 6: Final answer
    x = 13,421,854.94

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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.