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Finding the Third Proportional to 610,281 and 1,329,052

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Solution

The third proportional to 610,281 and 1,329,052 is: 2,894,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,281 : 1,329,052 = 1,329,052 : x
  2. Step 2: Convert to fraction form
    610,281/1,329,052 = 1,329,052/x
  3. Step 3: Cross multiply
    610,281x = 1,329,052 × 1,329,052
  4. Step 4: Simplify right side
    610,281x = 1,766,379,218,704
  5. Step 5: Solve for x
    x = 1,766,379,218,704/610,281
  6. Step 6: Final answer
    x = 2,894,370.33

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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.