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Finding the Third Proportional to 610,430 and 1,325,941

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Solution

The third proportional to 610,430 and 1,325,941 is: 2,880,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,430 : 1,325,941 = 1,325,941 : x
  2. Step 2: Convert to fraction form
    610,430/1,325,941 = 1,325,941/x
  3. Step 3: Cross multiply
    610,430x = 1,325,941 × 1,325,941
  4. Step 4: Simplify right side
    610,430x = 1,758,119,535,481
  5. Step 5: Solve for x
    x = 1,758,119,535,481/610,430
  6. Step 6: Final answer
    x = 2,880,132.92

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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.