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Finding the Third Proportional to 917,106 and 1,223,136

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Solution

The third proportional to 917,106 and 1,223,136 is: 1,631,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,106 : 1,223,136 = 1,223,136 : x
  2. Step 2: Convert to fraction form
    917,106/1,223,136 = 1,223,136/x
  3. Step 3: Cross multiply
    917,106x = 1,223,136 × 1,223,136
  4. Step 4: Simplify right side
    917,106x = 1,496,061,674,496
  5. Step 5: Solve for x
    x = 1,496,061,674,496/917,106
  6. Step 6: Final answer
    x = 1,631,285.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.