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Finding the Third Proportional to 1,272,645.84 and 1,780,182.56

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Solution

The third proportional to 1,272,645.84 and 1,780,182.56 is: 2,490,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,645.84 : 1,780,182.56 = 1,780,182.56 : x
  2. Step 2: Convert to fraction form
    1,272,645.84/1,780,182.56 = 1,780,182.56/x
  3. Step 3: Cross multiply
    1,272,645.84x = 1,780,182.56 × 1,780,182.56
  4. Step 4: Simplify right side
    1,272,645.84x = 3,169,049,955,829.07
  5. Step 5: Solve for x
    x = 3,169,049,955,829.07/1,272,645.84
  6. Step 6: Final answer
    x = 2,490,127.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.