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Finding the Third Proportional to 661,644 and 1,435,310

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Solution

The third proportional to 661,644 and 1,435,310 is: 3,113,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,644 : 1,435,310 = 1,435,310 : x
  2. Step 2: Convert to fraction form
    661,644/1,435,310 = 1,435,310/x
  3. Step 3: Cross multiply
    661,644x = 1,435,310 × 1,435,310
  4. Step 4: Simplify right side
    661,644x = 2,060,114,796,100
  5. Step 5: Solve for x
    x = 2,060,114,796,100/661,644
  6. Step 6: Final answer
    x = 3,113,630.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.