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Finding the Third Proportional to 770,319 and 1,126,953

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Solution

The third proportional to 770,319 and 1,126,953 is: 1,648,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,319 : 1,126,953 = 1,126,953 : x
  2. Step 2: Convert to fraction form
    770,319/1,126,953 = 1,126,953/x
  3. Step 3: Cross multiply
    770,319x = 1,126,953 × 1,126,953
  4. Step 4: Simplify right side
    770,319x = 1,270,023,064,209
  5. Step 5: Solve for x
    x = 1,270,023,064,209/770,319
  6. Step 6: Final answer
    x = 1,648,697.57

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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.