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Finding the Third Proportional to 1,299,810.56 and 2,805,139.32

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Solution

The third proportional to 1,299,810.56 and 2,805,139.32 is: 6,053,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,810.56 : 2,805,139.32 = 2,805,139.32 : x
  2. Step 2: Convert to fraction form
    1,299,810.56/2,805,139.32 = 2,805,139.32/x
  3. Step 3: Cross multiply
    1,299,810.56x = 2,805,139.32 × 2,805,139.32
  4. Step 4: Simplify right side
    1,299,810.56x = 7,868,806,595,406.40
  5. Step 5: Solve for x
    x = 7,868,806,595,406.40/1,299,810.56
  6. Step 6: Final answer
    x = 6,053,810.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.