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Finding the Third Proportional to 610,711 and 1,302,590

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Solution

The third proportional to 610,711 and 1,302,590 is: 2,778,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,711 : 1,302,590 = 1,302,590 : x
  2. Step 2: Convert to fraction form
    610,711/1,302,590 = 1,302,590/x
  3. Step 3: Cross multiply
    610,711x = 1,302,590 × 1,302,590
  4. Step 4: Simplify right side
    610,711x = 1,696,740,708,100
  5. Step 5: Solve for x
    x = 1,696,740,708,100/610,711
  6. Step 6: Final answer
    x = 2,778,303.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.