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Finding the Third Proportional to 1,345,806.56 and 2,953,184.06

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Solution

The third proportional to 1,345,806.56 and 2,953,184.06 is: 6,480,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,806.56 : 2,953,184.06 = 2,953,184.06 : x
  2. Step 2: Convert to fraction form
    1,345,806.56/2,953,184.06 = 2,953,184.06/x
  3. Step 3: Cross multiply
    1,345,806.56x = 2,953,184.06 × 2,953,184.06
  4. Step 4: Simplify right side
    1,345,806.56x = 8,721,296,107,004.00
  5. Step 5: Solve for x
    x = 8,721,296,107,004.00/1,345,806.56
  6. Step 6: Final answer
    x = 6,480,348.92

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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.