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Finding the Third Proportional to 771,261 and 1,671,237

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Solution

The third proportional to 771,261 and 1,671,237 is: 3,621,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,261 : 1,671,237 = 1,671,237 : x
  2. Step 2: Convert to fraction form
    771,261/1,671,237 = 1,671,237/x
  3. Step 3: Cross multiply
    771,261x = 1,671,237 × 1,671,237
  4. Step 4: Simplify right side
    771,261x = 2,793,033,110,169
  5. Step 5: Solve for x
    x = 2,793,033,110,169/771,261
  6. Step 6: Final answer
    x = 3,621,385.12

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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.