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Finding the Third Proportional to 586,334 and 1,277,590

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Solution

The third proportional to 586,334 and 1,277,590 is: 2,783,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,334 : 1,277,590 = 1,277,590 : x
  2. Step 2: Convert to fraction form
    586,334/1,277,590 = 1,277,590/x
  3. Step 3: Cross multiply
    586,334x = 1,277,590 × 1,277,590
  4. Step 4: Simplify right side
    586,334x = 1,632,236,208,100
  5. Step 5: Solve for x
    x = 1,632,236,208,100/586,334
  6. Step 6: Final answer
    x = 2,783,799.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.