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Finding the Third Proportional to 1,350,020 and 1,971,724

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Solution

The third proportional to 1,350,020 and 1,971,724 is: 2,879,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350,020 : 1,971,724 = 1,971,724 : x
  2. Step 2: Convert to fraction form
    1,350,020/1,971,724 = 1,971,724/x
  3. Step 3: Cross multiply
    1,350,020x = 1,971,724 × 1,971,724
  4. Step 4: Simplify right side
    1,350,020x = 3,887,695,532,176
  5. Step 5: Solve for x
    x = 3,887,695,532,176/1,350,020
  6. Step 6: Final answer
    x = 2,879,731.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.