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Finding the Third Proportional to 619,770 and 957,681

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Solution

The third proportional to 619,770 and 957,681 is: 1,479,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,770 : 957,681 = 957,681 : x
  2. Step 2: Convert to fraction form
    619,770/957,681 = 957,681/x
  3. Step 3: Cross multiply
    619,770x = 957,681 × 957,681
  4. Step 4: Simplify right side
    619,770x = 917,152,897,761
  5. Step 5: Solve for x
    x = 917,152,897,761/619,770
  6. Step 6: Final answer
    x = 1,479,827.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.