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Finding the Third Proportional to 630,227 and 943,140

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Solution

The third proportional to 630,227 and 943,140 is: 1,411,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,227 : 943,140 = 943,140 : x
  2. Step 2: Convert to fraction form
    630,227/943,140 = 943,140/x
  3. Step 3: Cross multiply
    630,227x = 943,140 × 943,140
  4. Step 4: Simplify right side
    630,227x = 889,513,059,600
  5. Step 5: Solve for x
    x = 889,513,059,600/630,227
  6. Step 6: Final answer
    x = 1,411,416.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.