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Finding the Third Proportional to 929,139 and 1,406,565

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Solution

The third proportional to 929,139 and 1,406,565 is: 2,129,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,139 : 1,406,565 = 1,406,565 : x
  2. Step 2: Convert to fraction form
    929,139/1,406,565 = 1,406,565/x
  3. Step 3: Cross multiply
    929,139x = 1,406,565 × 1,406,565
  4. Step 4: Simplify right side
    929,139x = 1,978,425,099,225
  5. Step 5: Solve for x
    x = 1,978,425,099,225/929,139
  6. Step 6: Final answer
    x = 2,129,310.15

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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.