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Finding the Third Proportional to 745,431 and 1,637,301

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Solution

The third proportional to 745,431 and 1,637,301 is: 3,596,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,431 : 1,637,301 = 1,637,301 : x
  2. Step 2: Convert to fraction form
    745,431/1,637,301 = 1,637,301/x
  3. Step 3: Cross multiply
    745,431x = 1,637,301 × 1,637,301
  4. Step 4: Simplify right side
    745,431x = 2,680,754,564,601
  5. Step 5: Solve for x
    x = 2,680,754,564,601/745,431
  6. Step 6: Final answer
    x = 3,596,247.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.