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Finding the Third Proportional to 430,866 and 925,700

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Solution

The third proportional to 430,866 and 925,700 is: 1,988,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,866 : 925,700 = 925,700 : x
  2. Step 2: Convert to fraction form
    430,866/925,700 = 925,700/x
  3. Step 3: Cross multiply
    430,866x = 925,700 × 925,700
  4. Step 4: Simplify right side
    430,866x = 856,920,490,000
  5. Step 5: Solve for x
    x = 856,920,490,000/430,866
  6. Step 6: Final answer
    x = 1,988,832.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.