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Finding the Third Proportional to 929,000 and 1,406,343

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Solution

The third proportional to 929,000 and 1,406,343 is: 2,128,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,000 : 1,406,343 = 1,406,343 : x
  2. Step 2: Convert to fraction form
    929,000/1,406,343 = 1,406,343/x
  3. Step 3: Cross multiply
    929,000x = 1,406,343 × 1,406,343
  4. Step 4: Simplify right side
    929,000x = 1,977,800,633,649
  5. Step 5: Solve for x
    x = 1,977,800,633,649/929,000
  6. Step 6: Final answer
    x = 2,128,956.55

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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.