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Finding the Third Proportional to 1,254,602.25 and 2,671,042.50

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Solution

The third proportional to 1,254,602.25 and 2,671,042.50 is: 5,686,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,602.25 : 2,671,042.50 = 2,671,042.50 : x
  2. Step 2: Convert to fraction form
    1,254,602.25/2,671,042.50 = 2,671,042.50/x
  3. Step 3: Cross multiply
    1,254,602.25x = 2,671,042.50 × 2,671,042.50
  4. Step 4: Simplify right side
    1,254,602.25x = 7,134,468,036,806.25
  5. Step 5: Solve for x
    x = 7,134,468,036,806.25/1,254,602.25
  6. Step 6: Final answer
    x = 5,686,637.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.