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Finding the Third Proportional to 594,590 and 1,307,260

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Solution

The third proportional to 594,590 and 1,307,260 is: 2,874,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,590 : 1,307,260 = 1,307,260 : x
  2. Step 2: Convert to fraction form
    594,590/1,307,260 = 1,307,260/x
  3. Step 3: Cross multiply
    594,590x = 1,307,260 × 1,307,260
  4. Step 4: Simplify right side
    594,590x = 1,708,928,707,600
  5. Step 5: Solve for x
    x = 1,708,928,707,600/594,590
  6. Step 6: Final answer
    x = 2,874,129.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.