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Finding the Third Proportional to 922,206 and 1,411,293

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Solution

The third proportional to 922,206 and 1,411,293 is: 2,159,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,206 : 1,411,293 = 1,411,293 : x
  2. Step 2: Convert to fraction form
    922,206/1,411,293 = 1,411,293/x
  3. Step 3: Cross multiply
    922,206x = 1,411,293 × 1,411,293
  4. Step 4: Simplify right side
    922,206x = 1,991,747,931,849
  5. Step 5: Solve for x
    x = 1,991,747,931,849/922,206
  6. Step 6: Final answer
    x = 2,159,764.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.