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Finding the Third Proportional to 1,661,140.13 and 2,602,427.63

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Solution

The third proportional to 1,661,140.13 and 2,602,427.63 is: 4,077,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,140.13 : 2,602,427.63 = 2,602,427.63 : x
  2. Step 2: Convert to fraction form
    1,661,140.13/2,602,427.63 = 2,602,427.63/x
  3. Step 3: Cross multiply
    1,661,140.13x = 2,602,427.63 × 2,602,427.63
  4. Step 4: Simplify right side
    1,661,140.13x = 6,772,629,543,363.14
  5. Step 5: Solve for x
    x = 6,772,629,543,363.14/1,661,140.13
  6. Step 6: Final answer
    x = 4,077,097.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.