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Finding the Third Proportional to 610,770 and 1,329,957

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Solution

The third proportional to 610,770 and 1,329,957 is: 2,895,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,770 : 1,329,957 = 1,329,957 : x
  2. Step 2: Convert to fraction form
    610,770/1,329,957 = 1,329,957/x
  3. Step 3: Cross multiply
    610,770x = 1,329,957 × 1,329,957
  4. Step 4: Simplify right side
    610,770x = 1,768,785,621,849
  5. Step 5: Solve for x
    x = 1,768,785,621,849/610,770
  6. Step 6: Final answer
    x = 2,895,992.96

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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.