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Finding the Third Proportional to 771,998 and 1,701,054

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Solution

The third proportional to 771,998 and 1,701,054 is: 3,748,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,998 : 1,701,054 = 1,701,054 : x
  2. Step 2: Convert to fraction form
    771,998/1,701,054 = 1,701,054/x
  3. Step 3: Cross multiply
    771,998x = 1,701,054 × 1,701,054
  4. Step 4: Simplify right side
    771,998x = 2,893,584,710,916
  5. Step 5: Solve for x
    x = 2,893,584,710,916/771,998
  6. Step 6: Final answer
    x = 3,748,176.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.