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Finding the Third Proportional to 748,275.19 and 1,696,308.75

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Solution

The third proportional to 748,275.19 and 1,696,308.75 is: 3,845,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,275.19 : 1,696,308.75 = 1,696,308.75 : x
  2. Step 2: Convert to fraction form
    748,275.19/1,696,308.75 = 1,696,308.75/x
  3. Step 3: Cross multiply
    748,275.19x = 1,696,308.75 × 1,696,308.75
  4. Step 4: Simplify right side
    748,275.19x = 2,877,463,375,326.56
  5. Step 5: Solve for x
    x = 2,877,463,375,326.56/748,275.19
  6. Step 6: Final answer
    x = 3,845,461.43

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.