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Finding the Third Proportional to 586,751.44 and 1,257,713.63

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Solution

The third proportional to 586,751.44 and 1,257,713.63 is: 2,695,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,751.44 : 1,257,713.63 = 1,257,713.63 : x
  2. Step 2: Convert to fraction form
    586,751.44/1,257,713.63 = 1,257,713.63/x
  3. Step 3: Cross multiply
    586,751.44x = 1,257,713.63 × 1,257,713.63
  4. Step 4: Simplify right side
    586,751.44x = 1,581,843,562,510.64
  5. Step 5: Solve for x
    x = 1,581,843,562,510.64/586,751.44
  6. Step 6: Final answer
    x = 2,695,934.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.