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Finding the Third Proportional to 661,946 and 1,022,877

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Solution

The third proportional to 661,946 and 1,022,877 is: 1,580,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,946 : 1,022,877 = 1,022,877 : x
  2. Step 2: Convert to fraction form
    661,946/1,022,877 = 1,022,877/x
  3. Step 3: Cross multiply
    661,946x = 1,022,877 × 1,022,877
  4. Step 4: Simplify right side
    661,946x = 1,046,277,357,129
  5. Step 5: Solve for x
    x = 1,046,277,357,129/661,946
  6. Step 6: Final answer
    x = 1,580,608.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.