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Finding the Third Proportional to 771,031 and 1,670,773

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Solution

The third proportional to 771,031 and 1,670,773 is: 3,620,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,031 : 1,670,773 = 1,670,773 : x
  2. Step 2: Convert to fraction form
    771,031/1,670,773 = 1,670,773/x
  3. Step 3: Cross multiply
    771,031x = 1,670,773 × 1,670,773
  4. Step 4: Simplify right side
    771,031x = 2,791,482,417,529
  5. Step 5: Solve for x
    x = 2,791,482,417,529/771,031
  6. Step 6: Final answer
    x = 3,620,454.19

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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.