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Finding the Third Proportional to 1,706,560.31 and 3,666,378.94

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Solution

The third proportional to 1,706,560.31 and 3,666,378.94 is: 7,876,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,560.31 : 3,666,378.94 = 3,666,378.94 : x
  2. Step 2: Convert to fraction form
    1,706,560.31/3,666,378.94 = 3,666,378.94/x
  3. Step 3: Cross multiply
    1,706,560.31x = 3,666,378.94 × 3,666,378.94
  4. Step 4: Simplify right side
    1,706,560.31x = 13,442,334,513,343.63
  5. Step 5: Solve for x
    x = 13,442,334,513,343.63/1,706,560.31
  6. Step 6: Final answer
    x = 7,876,858.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.