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Finding the Third Proportional to 877,641 and 1,310,670

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Solution

The third proportional to 877,641 and 1,310,670 is: 1,957,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,641 : 1,310,670 = 1,310,670 : x
  2. Step 2: Convert to fraction form
    877,641/1,310,670 = 1,310,670/x
  3. Step 3: Cross multiply
    877,641x = 1,310,670 × 1,310,670
  4. Step 4: Simplify right side
    877,641x = 1,717,855,848,900
  5. Step 5: Solve for x
    x = 1,717,855,848,900/877,641
  6. Step 6: Final answer
    x = 1,957,355.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.