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Finding the Third Proportional to 431,430 and 929,076

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Solution

The third proportional to 431,430 and 929,076 is: 2,000,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,430 : 929,076 = 929,076 : x
  2. Step 2: Convert to fraction form
    431,430/929,076 = 929,076/x
  3. Step 3: Cross multiply
    431,430x = 929,076 × 929,076
  4. Step 4: Simplify right side
    431,430x = 863,182,213,776
  5. Step 5: Solve for x
    x = 863,182,213,776/431,430
  6. Step 6: Final answer
    x = 2,000,746.85

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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.