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Finding the Third Proportional to 770,186 and 1,717,461

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Solution

The third proportional to 770,186 and 1,717,461 is: 3,829,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,186 : 1,717,461 = 1,717,461 : x
  2. Step 2: Convert to fraction form
    770,186/1,717,461 = 1,717,461/x
  3. Step 3: Cross multiply
    770,186x = 1,717,461 × 1,717,461
  4. Step 4: Simplify right side
    770,186x = 2,949,672,286,521
  5. Step 5: Solve for x
    x = 2,949,672,286,521/770,186
  6. Step 6: Final answer
    x = 3,829,818.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.