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Finding the Third Proportional to 771,213 and 1,671,134

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Solution

The third proportional to 771,213 and 1,671,134 is: 3,621,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,213 : 1,671,134 = 1,671,134 : x
  2. Step 2: Convert to fraction form
    771,213/1,671,134 = 1,671,134/x
  3. Step 3: Cross multiply
    771,213x = 1,671,134 × 1,671,134
  4. Step 4: Simplify right side
    771,213x = 2,792,688,845,956
  5. Step 5: Solve for x
    x = 2,792,688,845,956/771,213
  6. Step 6: Final answer
    x = 3,621,164.12

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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.