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Finding the Third Proportional to 926,946 and 1,241,523

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Solution

The third proportional to 926,946 and 1,241,523 is: 1,662,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,946 : 1,241,523 = 1,241,523 : x
  2. Step 2: Convert to fraction form
    926,946/1,241,523 = 1,241,523/x
  3. Step 3: Cross multiply
    926,946x = 1,241,523 × 1,241,523
  4. Step 4: Simplify right side
    926,946x = 1,541,379,359,529
  5. Step 5: Solve for x
    x = 1,541,379,359,529/926,946
  6. Step 6: Final answer
    x = 1,662,857.77

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.