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Finding the Third Proportional to 429,090 and 925,650

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Solution

The third proportional to 429,090 and 925,650 is: 1,996,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,090 : 925,650 = 925,650 : x
  2. Step 2: Convert to fraction form
    429,090/925,650 = 925,650/x
  3. Step 3: Cross multiply
    429,090x = 925,650 × 925,650
  4. Step 4: Simplify right side
    429,090x = 856,827,922,500
  5. Step 5: Solve for x
    x = 856,827,922,500/429,090
  6. Step 6: Final answer
    x = 1,996,848.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.