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Finding the Third Proportional to 610,416 and 1,325,913

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Solution

The third proportional to 610,416 and 1,325,913 is: 2,880,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416 : 1,325,913 = 1,325,913 : x
  2. Step 2: Convert to fraction form
    610,416/1,325,913 = 1,325,913/x
  3. Step 3: Cross multiply
    610,416x = 1,325,913 × 1,325,913
  4. Step 4: Simplify right side
    610,416x = 1,758,045,283,569
  5. Step 5: Solve for x
    x = 1,758,045,283,569/610,416
  6. Step 6: Final answer
    x = 2,880,077.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.