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Finding the Third Proportional to 610,546 and 1,329,570

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Solution

The third proportional to 610,546 and 1,329,570 is: 2,895,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,546 : 1,329,570 = 1,329,570 : x
  2. Step 2: Convert to fraction form
    610,546/1,329,570 = 1,329,570/x
  3. Step 3: Cross multiply
    610,546x = 1,329,570 × 1,329,570
  4. Step 4: Simplify right side
    610,546x = 1,767,756,384,900
  5. Step 5: Solve for x
    x = 1,767,756,384,900/610,546
  6. Step 6: Final answer
    x = 2,895,369.69

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