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Finding the Third Proportional to 715,789 and 1,543,659

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Solution

The third proportional to 715,789 and 1,543,659 is: 3,329,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,789 : 1,543,659 = 1,543,659 : x
  2. Step 2: Convert to fraction form
    715,789/1,543,659 = 1,543,659/x
  3. Step 3: Cross multiply
    715,789x = 1,543,659 × 1,543,659
  4. Step 4: Simplify right side
    715,789x = 2,382,883,108,281
  5. Step 5: Solve for x
    x = 2,382,883,108,281/715,789
  6. Step 6: Final answer
    x = 3,329,030.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.