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Finding the Third Proportional to 971,196.75 and 2,114,812.13

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Solution

The third proportional to 971,196.75 and 2,114,812.13 is: 4,605,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,196.75 : 2,114,812.13 = 2,114,812.13 : x
  2. Step 2: Convert to fraction form
    971,196.75/2,114,812.13 = 2,114,812.13/x
  3. Step 3: Cross multiply
    971,196.75x = 2,114,812.13 × 2,114,812.13
  4. Step 4: Simplify right side
    971,196.75x = 4,472,430,324,047.02
  5. Step 5: Solve for x
    x = 4,472,430,324,047.02/971,196.75
  6. Step 6: Final answer
    x = 4,605,071.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.