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Finding the Third Proportional to 770,306 and 1,126,929

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Solution

The third proportional to 770,306 and 1,126,929 is: 1,648,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,306 : 1,126,929 = 1,126,929 : x
  2. Step 2: Convert to fraction form
    770,306/1,126,929 = 1,126,929/x
  3. Step 3: Cross multiply
    770,306x = 1,126,929 × 1,126,929
  4. Step 4: Simplify right side
    770,306x = 1,269,968,971,041
  5. Step 5: Solve for x
    x = 1,269,968,971,041/770,306
  6. Step 6: Final answer
    x = 1,648,655.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.