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Finding the Third Proportional to 771,106 and 1,670,911

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Solution

The third proportional to 771,106 and 1,670,911 is: 3,620,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,106 : 1,670,911 = 1,670,911 : x
  2. Step 2: Convert to fraction form
    771,106/1,670,911 = 1,670,911/x
  3. Step 3: Cross multiply
    771,106x = 1,670,911 × 1,670,911
  4. Step 4: Simplify right side
    771,106x = 2,791,943,569,921
  5. Step 5: Solve for x
    x = 2,791,943,569,921/771,106
  6. Step 6: Final answer
    x = 3,620,700.10

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