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Finding the Third Proportional to 551,064 and 830,646

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Solution

The third proportional to 551,064 and 830,646 is: 1,252,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,064 : 830,646 = 830,646 : x
  2. Step 2: Convert to fraction form
    551,064/830,646 = 830,646/x
  3. Step 3: Cross multiply
    551,064x = 830,646 × 830,646
  4. Step 4: Simplify right side
    551,064x = 689,972,777,316
  5. Step 5: Solve for x
    x = 689,972,777,316/551,064
  6. Step 6: Final answer
    x = 1,252,073.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.