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Finding the Third Proportional to 500,985 and 1,106,946

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Solution

The third proportional to 500,985 and 1,106,946 is: 2,445,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,985 : 1,106,946 = 1,106,946 : x
  2. Step 2: Convert to fraction form
    500,985/1,106,946 = 1,106,946/x
  3. Step 3: Cross multiply
    500,985x = 1,106,946 × 1,106,946
  4. Step 4: Simplify right side
    500,985x = 1,225,329,446,916
  5. Step 5: Solve for x
    x = 1,225,329,446,916/500,985
  6. Step 6: Final answer
    x = 2,445,840.59

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.