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Finding the Third Proportional to 766,705 and 1,190,506

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Solution

The third proportional to 766,705 and 1,190,506 is: 1,848,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,705 : 1,190,506 = 1,190,506 : x
  2. Step 2: Convert to fraction form
    766,705/1,190,506 = 1,190,506/x
  3. Step 3: Cross multiply
    766,705x = 1,190,506 × 1,190,506
  4. Step 4: Simplify right side
    766,705x = 1,417,304,536,036
  5. Step 5: Solve for x
    x = 1,417,304,536,036/766,705
  6. Step 6: Final answer
    x = 1,848,565.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.