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Finding the Third Proportional to 912,136 and 1,957,115

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Solution

The third proportional to 912,136 and 1,957,115 is: 4,199,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,136 : 1,957,115 = 1,957,115 : x
  2. Step 2: Convert to fraction form
    912,136/1,957,115 = 1,957,115/x
  3. Step 3: Cross multiply
    912,136x = 1,957,115 × 1,957,115
  4. Step 4: Simplify right side
    912,136x = 3,830,299,123,225
  5. Step 5: Solve for x
    x = 3,830,299,123,225/912,136
  6. Step 6: Final answer
    x = 4,199,263.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.