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Finding the Third Proportional to 758,066 and 1,634,220

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Solution

The third proportional to 758,066 and 1,634,220 is: 3,523,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,066 : 1,634,220 = 1,634,220 : x
  2. Step 2: Convert to fraction form
    758,066/1,634,220 = 1,634,220/x
  3. Step 3: Cross multiply
    758,066x = 1,634,220 × 1,634,220
  4. Step 4: Simplify right side
    758,066x = 2,670,675,008,400
  5. Step 5: Solve for x
    x = 2,670,675,008,400/758,066
  6. Step 6: Final answer
    x = 3,523,011.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.