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Finding the Third Proportional to 1,457,663.50 and 2,149,127.88

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Solution

The third proportional to 1,457,663.50 and 2,149,127.88 is: 3,168,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,663.50 : 2,149,127.88 = 2,149,127.88 : x
  2. Step 2: Convert to fraction form
    1,457,663.50/2,149,127.88 = 2,149,127.88/x
  3. Step 3: Cross multiply
    1,457,663.50x = 2,149,127.88 × 2,149,127.88
  4. Step 4: Simplify right side
    1,457,663.50x = 4,618,750,623,102.02
  5. Step 5: Solve for x
    x = 4,618,750,623,102.02/1,457,663.50
  6. Step 6: Final answer
    x = 3,168,598.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.