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Finding the Third Proportional to 630,647 and 945,045.50

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Solution

The third proportional to 630,647 and 945,045.50 is: 1,416,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,647 : 945,045.50 = 945,045.50 : x
  2. Step 2: Convert to fraction form
    630,647/945,045.50 = 945,045.50/x
  3. Step 3: Cross multiply
    630,647x = 945,045.50 × 945,045.50
  4. Step 4: Simplify right side
    630,647x = 893,110,997,070.25
  5. Step 5: Solve for x
    x = 893,110,997,070.25/630,647
  6. Step 6: Final answer
    x = 1,416,182.11

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