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Finding the Third Proportional to 771,260 and 1,671,232

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Solution

The third proportional to 771,260 and 1,671,232 is: 3,621,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,260 : 1,671,232 = 1,671,232 : x
  2. Step 2: Convert to fraction form
    771,260/1,671,232 = 1,671,232/x
  3. Step 3: Cross multiply
    771,260x = 1,671,232 × 1,671,232
  4. Step 4: Simplify right side
    771,260x = 2,793,016,397,824
  5. Step 5: Solve for x
    x = 2,793,016,397,824/771,260
  6. Step 6: Final answer
    x = 3,621,368.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.