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Finding the Third Proportional to 582,068 and 1,249,186

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Solution

The third proportional to 582,068 and 1,249,186 is: 2,680,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,068 : 1,249,186 = 1,249,186 : x
  2. Step 2: Convert to fraction form
    582,068/1,249,186 = 1,249,186/x
  3. Step 3: Cross multiply
    582,068x = 1,249,186 × 1,249,186
  4. Step 4: Simplify right side
    582,068x = 1,560,465,662,596
  5. Step 5: Solve for x
    x = 1,560,465,662,596/582,068
  6. Step 6: Final answer
    x = 2,680,899.25

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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.