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Finding the Third Proportional to 630,657 and 945,063

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Solution

The third proportional to 630,657 and 945,063 is: 1,416,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,657 : 945,063 = 945,063 : x
  2. Step 2: Convert to fraction form
    630,657/945,063 = 945,063/x
  3. Step 3: Cross multiply
    630,657x = 945,063 × 945,063
  4. Step 4: Simplify right side
    630,657x = 893,144,073,969
  5. Step 5: Solve for x
    x = 893,144,073,969/630,657
  6. Step 6: Final answer
    x = 1,416,212.10

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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.