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Finding the Third Proportional to 909,144 and 1,363,716

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Solution

The third proportional to 909,144 and 1,363,716 is: 2,045,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,144 : 1,363,716 = 1,363,716 : x
  2. Step 2: Convert to fraction form
    909,144/1,363,716 = 1,363,716/x
  3. Step 3: Cross multiply
    909,144x = 1,363,716 × 1,363,716
  4. Step 4: Simplify right side
    909,144x = 1,859,721,328,656
  5. Step 5: Solve for x
    x = 1,859,721,328,656/909,144
  6. Step 6: Final answer
    x = 2,045,574

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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.