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Finding the Third Proportional to 771,654 and 1,692,711

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Solution

The third proportional to 771,654 and 1,692,711 is: 3,713,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,654 : 1,692,711 = 1,692,711 : x
  2. Step 2: Convert to fraction form
    771,654/1,692,711 = 1,692,711/x
  3. Step 3: Cross multiply
    771,654x = 1,692,711 × 1,692,711
  4. Step 4: Simplify right side
    771,654x = 2,865,270,529,521
  5. Step 5: Solve for x
    x = 2,865,270,529,521/771,654
  6. Step 6: Final answer
    x = 3,713,154.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.