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Finding the Third Proportional to 1,308,695.06 and 1,955,228.63

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Solution

The third proportional to 1,308,695.06 and 1,955,228.63 is: 2,921,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,695.06 : 1,955,228.63 = 1,955,228.63 : x
  2. Step 2: Convert to fraction form
    1,308,695.06/1,955,228.63 = 1,955,228.63/x
  3. Step 3: Cross multiply
    1,308,695.06x = 1,955,228.63 × 1,955,228.63
  4. Step 4: Simplify right side
    1,308,695.06x = 3,822,918,976,019.39
  5. Step 5: Solve for x
    x = 3,822,918,976,019.39/1,308,695.06
  6. Step 6: Final answer
    x = 2,921,168.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.