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Finding the Third Proportional to 971,189.37 and 2,114,798.63

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Solution

The third proportional to 971,189.37 and 2,114,798.63 is: 4,605,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,189.37 : 2,114,798.63 = 2,114,798.63 : x
  2. Step 2: Convert to fraction form
    971,189.37/2,114,798.63 = 2,114,798.63/x
  3. Step 3: Cross multiply
    971,189.37x = 2,114,798.63 × 2,114,798.63
  4. Step 4: Simplify right side
    971,189.37x = 4,472,373,224,301.89
  5. Step 5: Solve for x
    x = 4,472,373,224,301.89/971,189.37
  6. Step 6: Final answer
    x = 4,605,047.56

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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.